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Finding the Fourth Proportional to 535,354.34, 804,029.97 and 471,335.18

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Solution

The fourth proportional to 535,354.34, 804,029.97 and 471,335.18 is: 707,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,354.34 : 804,029.97 = 471,335.18 : x
  2. Step 2: Convert to fraction form
    535,354.34/804,029.97 = 471,335.18/x
  3. Step 3: Cross multiply
    535,354.34x = 804,029.97 × 471,335.18
  4. Step 4: Simplify right side
    535,354.34x = 378,967,610,635.35
  5. Step 5: Solve for x
    x = 378,967,610,635.35/535,354.34
  6. Step 6: Final answer
    x = 707,881.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.