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Finding the Fourth Proportional to 569,635.71, 785,829.62 and 406,328.30

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Solution

The fourth proportional to 569,635.71, 785,829.62 and 406,328.30 is: 560,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,635.71 : 785,829.62 = 406,328.30 : x
  2. Step 2: Convert to fraction form
    569,635.71/785,829.62 = 406,328.30/x
  3. Step 3: Cross multiply
    569,635.71x = 785,829.62 × 406,328.30
  4. Step 4: Simplify right side
    569,635.71x = 319,304,807,623.46
  5. Step 5: Solve for x
    x = 319,304,807,623.46/569,635.71
  6. Step 6: Final answer
    x = 560,542.12

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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.