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Finding the Fourth Proportional to 400,498.96, 552,686.55 and 216,737.38

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Solution

The fourth proportional to 400,498.96, 552,686.55 and 216,737.38 is: 299,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,498.96 : 552,686.55 = 216,737.38 : x
  2. Step 2: Convert to fraction form
    400,498.96/552,686.55 = 216,737.38/x
  3. Step 3: Cross multiply
    400,498.96x = 552,686.55 × 216,737.38
  4. Step 4: Simplify right side
    400,498.96x = 119,787,834,808.24
  5. Step 5: Solve for x
    x = 119,787,834,808.24/400,498.96
  6. Step 6: Final answer
    x = 299,096.49

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1.5x scale

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.