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Finding the Fourth Proportional to 302,683.52, 417,703.24 and 175,432.93

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Solution

The fourth proportional to 302,683.52, 417,703.24 and 175,432.93 is: 242,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.52 : 417,703.24 = 175,432.93 : x
  2. Step 2: Convert to fraction form
    302,683.52/417,703.24 = 175,432.93/x
  3. Step 3: Cross multiply
    302,683.52x = 417,703.24 × 175,432.93
  4. Step 4: Simplify right side
    302,683.52x = 73,278,902,438.73
  5. Step 5: Solve for x
    x = 73,278,902,438.73/302,683.52
  6. Step 6: Final answer
    x = 242,097.43

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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.