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Finding the Fourth Proportional to 714,089.95, 985,444.05 and 408,172.87

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Solution

The fourth proportional to 714,089.95, 985,444.05 and 408,172.87 is: 563,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,089.95 : 985,444.05 = 408,172.87 : x
  2. Step 2: Convert to fraction form
    714,089.95/985,444.05 = 408,172.87/x
  3. Step 3: Cross multiply
    714,089.95x = 985,444.05 × 408,172.87
  4. Step 4: Simplify right side
    714,089.95x = 402,231,526,112.92
  5. Step 5: Solve for x
    x = 402,231,526,112.92/714,089.95
  6. Step 6: Final answer
    x = 563,278.51

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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.