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Finding the Fourth Proportional to 369,592.47, 510,035.13 and 208,448.91

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Solution

The fourth proportional to 369,592.47, 510,035.13 and 208,448.91 is: 287,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,592.47 : 510,035.13 = 208,448.91 : x
  2. Step 2: Convert to fraction form
    369,592.47/510,035.13 = 208,448.91/x
  3. Step 3: Cross multiply
    369,592.47x = 510,035.13 × 208,448.91
  4. Step 4: Simplify right side
    369,592.47x = 106,316,266,910.21
  5. Step 5: Solve for x
    x = 106,316,266,910.21/369,592.47
  6. Step 6: Final answer
    x = 287,658.10

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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.