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Finding the Fourth Proportional to 729,000.53, 1,006,021.36 and 406,710.69

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Solution

The fourth proportional to 729,000.53, 1,006,021.36 and 406,710.69 is: 561,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000.53 : 1,006,021.36 = 406,710.69 : x
  2. Step 2: Convert to fraction form
    729,000.53/1,006,021.36 = 406,710.69/x
  3. Step 3: Cross multiply
    729,000.53x = 1,006,021.36 × 406,710.69
  4. Step 4: Simplify right side
    729,000.53x = 409,159,640,463.56
  5. Step 5: Solve for x
    x = 409,159,640,463.56/729,000.53
  6. Step 6: Final answer
    x = 561,261.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.