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Finding the Fourth Proportional to 592,288.80, 817,357.66 and 334,165.38

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Solution

The fourth proportional to 592,288.80, 817,357.66 and 334,165.38 is: 461,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,288.80 : 817,357.66 = 334,165.38 : x
  2. Step 2: Convert to fraction form
    592,288.80/817,357.66 = 334,165.38/x
  3. Step 3: Cross multiply
    592,288.80x = 817,357.66 × 334,165.38
  4. Step 4: Simplify right side
    592,288.80x = 273,132,633,049.81
  5. Step 5: Solve for x
    x = 273,132,633,049.81/592,288.80
  6. Step 6: Final answer
    x = 461,147.73

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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.