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Finding the Fourth Proportional to 320,392.32, 442,123.56 and 177,143.76

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Solution

The fourth proportional to 320,392.32, 442,123.56 and 177,143.76 is: 244,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,392.32 : 442,123.56 = 177,143.76 : x
  2. Step 2: Convert to fraction form
    320,392.32/442,123.56 = 177,143.76/x
  3. Step 3: Cross multiply
    320,392.32x = 442,123.56 × 177,143.76
  4. Step 4: Simplify right side
    320,392.32x = 78,319,429,802.99
  5. Step 5: Solve for x
    x = 78,319,429,802.99/320,392.32
  6. Step 6: Final answer
    x = 244,448.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.