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Finding the Fourth Proportional to 714,117.43, 985,482.07 and 408,200.44

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Solution

The fourth proportional to 714,117.43, 985,482.07 and 408,200.44 is: 563,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,117.43 : 985,482.07 = 408,200.44 : x
  2. Step 2: Convert to fraction form
    714,117.43/985,482.07 = 408,200.44/x
  3. Step 3: Cross multiply
    714,117.43x = 985,482.07 × 408,200.44
  4. Step 4: Simplify right side
    714,117.43x = 402,274,214,586.11
  5. Step 5: Solve for x
    x = 402,274,214,586.11/714,117.43
  6. Step 6: Final answer
    x = 563,316.62

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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.