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Finding the Fourth Proportional to 413,343.29, 570,374.33 and 232,013.66

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Solution

The fourth proportional to 413,343.29, 570,374.33 and 232,013.66 is: 320,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343.29 : 570,374.33 = 232,013.66 : x
  2. Step 2: Convert to fraction form
    413,343.29/570,374.33 = 232,013.66/x
  3. Step 3: Cross multiply
    413,343.29x = 570,374.33 × 232,013.66
  4. Step 4: Simplify right side
    413,343.29x = 132,334,633,021.48
  5. Step 5: Solve for x
    x = 132,334,633,021.48/413,343.29
  6. Step 6: Final answer
    x = 320,156.73

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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.