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Finding the Fourth Proportional to 647,966.47, 971,838.95 and 174,541.11

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Solution

The fourth proportional to 647,966.47, 971,838.95 and 174,541.11 is: 261,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,966.47 : 971,838.95 = 174,541.11 : x
  2. Step 2: Convert to fraction form
    647,966.47/971,838.95 = 174,541.11/x
  3. Step 3: Cross multiply
    647,966.47x = 971,838.95 × 174,541.11
  4. Step 4: Simplify right side
    647,966.47x = 169,625,849,074.23
  5. Step 5: Solve for x
    x = 169,625,849,074.23/647,966.47
  6. Step 6: Final answer
    x = 261,781.83

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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.