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Finding the Fourth Proportional to 714,081.83, 985,432.84 and 408,164.74

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Solution

The fourth proportional to 714,081.83, 985,432.84 and 408,164.74 is: 563,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,081.83 : 985,432.84 = 408,164.74 : x
  2. Step 2: Convert to fraction form
    714,081.83/985,432.84 = 408,164.74/x
  3. Step 3: Cross multiply
    714,081.83x = 985,432.84 × 408,164.74
  4. Step 4: Simplify right side
    714,081.83x = 402,218,935,442.07
  5. Step 5: Solve for x
    x = 402,218,935,442.07/714,081.83
  6. Step 6: Final answer
    x = 563,267.29

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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.