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Finding the Fourth Proportional to 532,103.42, 734,318.92 and 302,693.94

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Solution

The fourth proportional to 532,103.42, 734,318.92 and 302,693.94 is: 417,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,103.42 : 734,318.92 = 302,693.94 : x
  2. Step 2: Convert to fraction form
    532,103.42/734,318.92 = 302,693.94/x
  3. Step 3: Cross multiply
    532,103.42x = 734,318.92 × 302,693.94
  4. Step 4: Simplify right side
    532,103.42x = 222,273,887,111.35
  5. Step 5: Solve for x
    x = 222,273,887,111.35/532,103.42
  6. Step 6: Final answer
    x = 417,726.85

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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.