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Finding the Fourth Proportional to 302,462.88, 417,422.88 and 175,140.72

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Solution

The fourth proportional to 302,462.88, 417,422.88 and 175,140.72 is: 241,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,462.88 : 417,422.88 = 175,140.72 : x
  2. Step 2: Convert to fraction form
    302,462.88/417,422.88 = 175,140.72/x
  3. Step 3: Cross multiply
    302,462.88x = 417,422.88 × 175,140.72
  4. Step 4: Simplify right side
    302,462.88x = 73,107,743,747.67
  5. Step 5: Solve for x
    x = 73,107,743,747.67/302,462.88
  6. Step 6: Final answer
    x = 241,708.15

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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.