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Finding the Fourth Proportional to 714,089.70, 985,443.71 and 408,172.62

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Solution

The fourth proportional to 714,089.70, 985,443.71 and 408,172.62 is: 563,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,089.70 : 985,443.71 = 408,172.62 : x
  2. Step 2: Convert to fraction form
    714,089.70/985,443.71 = 408,172.62/x
  3. Step 3: Cross multiply
    714,089.70x = 985,443.71 × 408,172.62
  4. Step 4: Simplify right side
    714,089.70x = 402,231,138,932.36
  5. Step 5: Solve for x
    x = 402,231,138,932.36/714,089.70
  6. Step 6: Final answer
    x = 563,278.17

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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.