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Finding the Fourth Proportional to 473,498.71, 653,356.53 and 266,737.64

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Solution

The fourth proportional to 473,498.71, 653,356.53 and 266,737.64 is: 368,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,498.71 : 653,356.53 = 266,737.64 : x
  2. Step 2: Convert to fraction form
    473,498.71/653,356.53 = 266,737.64/x
  3. Step 3: Cross multiply
    473,498.71x = 653,356.53 × 266,737.64
  4. Step 4: Simplify right side
    473,498.71x = 174,274,778,890.79
  5. Step 5: Solve for x
    x = 174,274,778,890.79/473,498.71
  6. Step 6: Final answer
    x = 368,057.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.