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Finding the Fourth Proportional to 413,036.60, 570,000.32 and 231,761.93

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Solution

The fourth proportional to 413,036.60, 570,000.32 and 231,761.93 is: 319,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,036.60 : 570,000.32 = 231,761.93 : x
  2. Step 2: Convert to fraction form
    413,036.60/570,000.32 = 231,761.93/x
  3. Step 3: Cross multiply
    413,036.60x = 570,000.32 × 231,761.93
  4. Step 4: Simplify right side
    413,036.60x = 132,104,372,838.82
  5. Step 5: Solve for x
    x = 132,104,372,838.82/413,036.60
  6. Step 6: Final answer
    x = 319,836.97

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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.