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Finding the Fourth Proportional to 729,002.99, 1,006,024.75 and 406,713.15

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Solution

The fourth proportional to 729,002.99, 1,006,024.75 and 406,713.15 is: 561,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,002.99 : 1,006,024.75 = 406,713.15 : x
  2. Step 2: Convert to fraction form
    729,002.99/1,006,024.75 = 406,713.15/x
  3. Step 3: Cross multiply
    729,002.99x = 1,006,024.75 × 406,713.15
  4. Step 4: Simplify right side
    729,002.99x = 409,163,494,033.68
  5. Step 5: Solve for x
    x = 409,163,494,033.68/729,002.99
  6. Step 6: Final answer
    x = 561,264.50

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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.