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Finding the Fourth Proportional to 645,711.40, 966,263.10 and 409,167.40

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Solution

The fourth proportional to 645,711.40, 966,263.10 and 409,167.40 is: 612,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,711.40 : 966,263.10 = 409,167.40 : x
  2. Step 2: Convert to fraction form
    645,711.40/966,263.10 = 409,167.40/x
  3. Step 3: Cross multiply
    645,711.40x = 966,263.10 × 409,167.40
  4. Step 4: Simplify right side
    645,711.40x = 395,363,360,342.94
  5. Step 5: Solve for x
    x = 395,363,360,342.94/645,711.40
  6. Step 6: Final answer
    x = 612,291.13

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