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Finding the Fourth Proportional to 402,561.90, 564,416.10 and 402,561.90

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Solution

The fourth proportional to 402,561.90, 564,416.10 and 402,561.90 is: 564,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,561.90 : 564,416.10 = 402,561.90 : x
  2. Step 2: Convert to fraction form
    402,561.90/564,416.10 = 402,561.90/x
  3. Step 3: Cross multiply
    402,561.90x = 564,416.10 × 402,561.90
  4. Step 4: Simplify right side
    402,561.90x = 227,212,417,606.59
  5. Step 5: Solve for x
    x = 227,212,417,606.59/402,561.90
  6. Step 6: Final answer
    x = 564,416.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.