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Finding the Fourth Proportional to 413,358.46, 570,445.14 and 232,084.51

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Solution

The fourth proportional to 413,358.46, 570,445.14 and 232,084.51 is: 320,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,358.46 : 570,445.14 = 232,084.51 : x
  2. Step 2: Convert to fraction form
    413,358.46/570,445.14 = 232,084.51/x
  3. Step 3: Cross multiply
    413,358.46x = 570,445.14 × 232,084.51
  4. Step 4: Simplify right side
    413,358.46x = 132,391,480,798.78
  5. Step 5: Solve for x
    x = 132,391,480,798.78/413,358.46
  6. Step 6: Final answer
    x = 320,282.50

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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.