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Finding the Fourth Proportional to 302,726.24, 417,743.88 and 175,379.84

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Solution

The fourth proportional to 302,726.24, 417,743.88 and 175,379.84 is: 242,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,726.24 : 417,743.88 = 175,379.84 : x
  2. Step 2: Convert to fraction form
    302,726.24/417,743.88 = 175,379.84/x
  3. Step 3: Cross multiply
    302,726.24x = 417,743.88 × 175,379.84
  4. Step 4: Simplify right side
    302,726.24x = 73,263,854,835.38
  5. Step 5: Solve for x
    x = 73,263,854,835.38/302,726.24
  6. Step 6: Final answer
    x = 242,013.56

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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.