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Finding the Fourth Proportional to 413,088.30, 570,060.32 and 231,799.82

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Solution

The fourth proportional to 413,088.30, 570,060.32 and 231,799.82 is: 319,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,088.30 : 570,060.32 = 231,799.82 : x
  2. Step 2: Convert to fraction form
    413,088.30/570,060.32 = 231,799.82/x
  3. Step 3: Cross multiply
    413,088.30x = 570,060.32 × 231,799.82
  4. Step 4: Simplify right side
    413,088.30x = 132,139,881,569.79
  5. Step 5: Solve for x
    x = 132,139,881,569.79/413,088.30
  6. Step 6: Final answer
    x = 319,882.89

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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.