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Finding the Fourth Proportional to 755,416, 1,042,549.38 and 564,097.24

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Solution

The fourth proportional to 755,416, 1,042,549.38 and 564,097.24 is: 778,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,416 : 1,042,549.38 = 564,097.24 : x
  2. Step 2: Convert to fraction form
    755,416/1,042,549.38 = 564,097.24/x
  3. Step 3: Cross multiply
    755,416x = 1,042,549.38 × 564,097.24
  4. Step 4: Simplify right side
    755,416x = 588,099,227,821.71
  5. Step 5: Solve for x
    x = 588,099,227,821.71/755,416
  6. Step 6: Final answer
    x = 778,510.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.