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Finding the Fourth Proportional to 403,892.80, 564,344 and 403,892.80

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Solution

The fourth proportional to 403,892.80, 564,344 and 403,892.80 is: 564,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,892.80 : 564,344 = 403,892.80 : x
  2. Step 2: Convert to fraction form
    403,892.80/564,344 = 403,892.80/x
  3. Step 3: Cross multiply
    403,892.80x = 564,344 × 403,892.80
  4. Step 4: Simplify right side
    403,892.80x = 227,934,478,323.20
  5. Step 5: Solve for x
    x = 227,934,478,323.20/403,892.80
  6. Step 6: Final answer
    x = 564,344

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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.