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Finding the Fourth Proportional to 413,683.59, 570,865.28 and 252,807.87

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Solution

The fourth proportional to 413,683.59, 570,865.28 and 252,807.87 is: 348,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,683.59 : 570,865.28 = 252,807.87 : x
  2. Step 2: Convert to fraction form
    413,683.59/570,865.28 = 252,807.87/x
  3. Step 3: Cross multiply
    413,683.59x = 570,865.28 × 252,807.87
  4. Step 4: Simplify right side
    413,683.59x = 144,319,234,229.71
  5. Step 5: Solve for x
    x = 144,319,234,229.71/413,683.59
  6. Step 6: Final answer
    x = 348,863.81

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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.