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Finding the Fourth Proportional to 302,707.40, 417,736.26 and 175,456.80

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Solution

The fourth proportional to 302,707.40, 417,736.26 and 175,456.80 is: 242,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,707.40 : 417,736.26 = 175,456.80 : x
  2. Step 2: Convert to fraction form
    302,707.40/417,736.26 = 175,456.80/x
  3. Step 3: Cross multiply
    302,707.40x = 417,736.26 × 175,456.80
  4. Step 4: Simplify right side
    302,707.40x = 73,294,667,423.57
  5. Step 5: Solve for x
    x = 73,294,667,423.57/302,707.40
  6. Step 6: Final answer
    x = 242,130.42

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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.