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Finding the Fourth Proportional to 415,041.47, 572,658.80 and 233,717.30

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Solution

The fourth proportional to 415,041.47, 572,658.80 and 233,717.30 is: 322,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,041.47 : 572,658.80 = 233,717.30 : x
  2. Step 2: Convert to fraction form
    415,041.47/572,658.80 = 233,717.30/x
  3. Step 3: Cross multiply
    415,041.47x = 572,658.80 × 233,717.30
  4. Step 4: Simplify right side
    415,041.47x = 133,840,266,672.83
  5. Step 5: Solve for x
    x = 133,840,266,672.83/415,041.47
  6. Step 6: Final answer
    x = 322,474.44

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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.