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Finding the Fourth Proportional to 647,689.40, 971,534.10 and 471,433.40

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Solution

The fourth proportional to 647,689.40, 971,534.10 and 471,433.40 is: 707,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,689.40 : 971,534.10 = 471,433.40 : x
  2. Step 2: Convert to fraction form
    647,689.40/971,534.10 = 471,433.40/x
  3. Step 3: Cross multiply
    647,689.40x = 971,534.10 × 471,433.40
  4. Step 4: Simplify right side
    647,689.40x = 458,013,623,978.94
  5. Step 5: Solve for x
    x = 458,013,623,978.94/647,689.40
  6. Step 6: Final answer
    x = 707,150.10

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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.