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Finding the Fourth Proportional to 647,658.40, 971,487.60 and 471,402.40

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Solution

The fourth proportional to 647,658.40, 971,487.60 and 471,402.40 is: 707,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,658.40 : 971,487.60 = 471,402.40 : x
  2. Step 2: Convert to fraction form
    647,658.40/971,487.60 = 471,402.40/x
  3. Step 3: Cross multiply
    647,658.40x = 971,487.60 × 471,402.40
  4. Step 4: Simplify right side
    647,658.40x = 457,961,586,210.24
  5. Step 5: Solve for x
    x = 457,961,586,210.24/647,658.40
  6. Step 6: Final answer
    x = 707,103.60

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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.