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Finding the Fourth Proportional to 714,089.20, 985,443.02 and 408,172.12

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Solution

The fourth proportional to 714,089.20, 985,443.02 and 408,172.12 is: 563,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,089.20 : 985,443.02 = 408,172.12 : x
  2. Step 2: Convert to fraction form
    714,089.20/985,443.02 = 408,172.12/x
  3. Step 3: Cross multiply
    714,089.20x = 985,443.02 × 408,172.12
  4. Step 4: Simplify right side
    714,089.20x = 402,230,364,571.74
  5. Step 5: Solve for x
    x = 402,230,364,571.74/714,089.20
  6. Step 6: Final answer
    x = 563,277.48

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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.