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Finding the Fourth Proportional to 472,460.48, 708,693.39 and 117,474.54

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Solution

The fourth proportional to 472,460.48, 708,693.39 and 117,474.54 is: 176,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,460.48 : 708,693.39 = 117,474.54 : x
  2. Step 2: Convert to fraction form
    472,460.48/708,693.39 = 117,474.54/x
  3. Step 3: Cross multiply
    472,460.48x = 708,693.39 × 117,474.54
  4. Step 4: Simplify right side
    472,460.48x = 83,253,429,991.29
  5. Step 5: Solve for x
    x = 83,253,429,991.29/472,460.48
  6. Step 6: Final answer
    x = 176,212.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.