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Finding the Fourth Proportional to 592,471.82, 817,632.14 and 334,411.60

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Solution

The fourth proportional to 592,471.82, 817,632.14 and 334,411.60 is: 461,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,471.82 : 817,632.14 = 334,411.60 : x
  2. Step 2: Convert to fraction form
    592,471.82/817,632.14 = 334,411.60/x
  3. Step 3: Cross multiply
    592,471.82x = 817,632.14 × 334,411.60
  4. Step 4: Simplify right side
    592,471.82x = 273,425,672,148.82
  5. Step 5: Solve for x
    x = 273,425,672,148.82/592,471.82
  6. Step 6: Final answer
    x = 461,499.88

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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.