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Finding the Fourth Proportional to 407,037.18, 610,585.17 and 107,513.86

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Solution

The fourth proportional to 407,037.18, 610,585.17 and 107,513.86 is: 161,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,037.18 : 610,585.17 = 107,513.86 : x
  2. Step 2: Convert to fraction form
    407,037.18/610,585.17 = 107,513.86/x
  3. Step 3: Cross multiply
    407,037.18x = 610,585.17 × 107,513.86
  4. Step 4: Simplify right side
    407,037.18x = 65,646,368,485.46
  5. Step 5: Solve for x
    x = 65,646,368,485.46/407,037.18
  6. Step 6: Final answer
    x = 161,278.56

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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.