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Finding the Fourth Proportional to 415,271.77, 573,092.70 and 231,510.31

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Solution

The fourth proportional to 415,271.77, 573,092.70 and 231,510.31 is: 319,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,271.77 : 573,092.70 = 231,510.31 : x
  2. Step 2: Convert to fraction form
    415,271.77/573,092.70 = 231,510.31/x
  3. Step 3: Cross multiply
    415,271.77x = 573,092.70 × 231,510.31
  4. Step 4: Simplify right side
    415,271.77x = 132,676,868,635.74
  5. Step 5: Solve for x
    x = 132,676,868,635.74/415,271.77
  6. Step 6: Final answer
    x = 319,494.07

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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.