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Finding the Fourth Proportional to 966,725.10, 1,447,878.78 and 461,639.88

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Solution

The fourth proportional to 966,725.10, 1,447,878.78 and 461,639.88 is: 691,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,725.10 : 1,447,878.78 = 461,639.88 : x
  2. Step 2: Convert to fraction form
    966,725.10/1,447,878.78 = 461,639.88/x
  3. Step 3: Cross multiply
    966,725.10x = 1,447,878.78 × 461,639.88
  4. Step 4: Simplify right side
    966,725.10x = 668,398,586,253.75
  5. Step 5: Solve for x
    x = 668,398,586,253.75/966,725.10
  6. Step 6: Final answer
    x = 691,405.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.