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Finding the Fourth Proportional to 535,291.83, 738,712.17 and 293,572.31

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Solution

The fourth proportional to 535,291.83, 738,712.17 and 293,572.31 is: 405,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,291.83 : 738,712.17 = 293,572.31 : x
  2. Step 2: Convert to fraction form
    535,291.83/738,712.17 = 293,572.31/x
  3. Step 3: Cross multiply
    535,291.83x = 738,712.17 × 293,572.31
  4. Step 4: Simplify right side
    535,291.83x = 216,865,434,478.45
  5. Step 5: Solve for x
    x = 216,865,434,478.45/535,291.83
  6. Step 6: Final answer
    x = 405,134.96

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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.