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Finding the Fourth Proportional to 415,087.83, 572,864.27 and 254,050.11

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Solution

The fourth proportional to 415,087.83, 572,864.27 and 254,050.11 is: 350,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087.83 : 572,864.27 = 254,050.11 : x
  2. Step 2: Convert to fraction form
    415,087.83/572,864.27 = 254,050.11/x
  3. Step 3: Cross multiply
    415,087.83x = 572,864.27 × 254,050.11
  4. Step 4: Simplify right side
    415,087.83x = 145,536,229,538.32
  5. Step 5: Solve for x
    x = 145,536,229,538.32/415,087.83
  6. Step 6: Final answer
    x = 350,615.51

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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.