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Finding the Fourth Proportional to 714,863.52, 986,528.20 and 408,968.64

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Solution

The fourth proportional to 714,863.52, 986,528.20 and 408,968.64 is: 564,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,863.52 : 986,528.20 = 408,968.64 : x
  2. Step 2: Convert to fraction form
    714,863.52/986,528.20 = 408,968.64/x
  3. Step 3: Cross multiply
    714,863.52x = 986,528.20 × 408,968.64
  4. Step 4: Simplify right side
    714,863.52x = 403,459,096,275.65
  5. Step 5: Solve for x
    x = 403,459,096,275.65/714,863.52
  6. Step 6: Final answer
    x = 564,386.19

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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.