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Finding the Fourth Proportional to 564,045, 778,382.10 and 309,396.78

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Solution

The fourth proportional to 564,045, 778,382.10 and 309,396.78 is: 426,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,045 : 778,382.10 = 309,396.78 : x
  2. Step 2: Convert to fraction form
    564,045/778,382.10 = 309,396.78/x
  3. Step 3: Cross multiply
    564,045x = 778,382.10 × 309,396.78
  4. Step 4: Simplify right side
    564,045x = 240,828,915,349.64
  5. Step 5: Solve for x
    x = 240,828,915,349.64/564,045
  6. Step 6: Final answer
    x = 426,967.56

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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.