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Finding the Fourth Proportional to 677,038.38, 933,982.29 and 569,569.20

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Solution

The fourth proportional to 677,038.38, 933,982.29 and 569,569.20 is: 785,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,038.38 : 933,982.29 = 569,569.20 : x
  2. Step 2: Convert to fraction form
    677,038.38/933,982.29 = 569,569.20/x
  3. Step 3: Cross multiply
    677,038.38x = 933,982.29 × 569,569.20
  4. Step 4: Simplify right side
    677,038.38x = 531,967,545,729.47
  5. Step 5: Solve for x
    x = 531,967,545,729.47/677,038.38
  6. Step 6: Final answer
    x = 785,727.31

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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.