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Finding the Fourth Proportional to 420,498.44, 580,283.62 and 229,510.12

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Solution

The fourth proportional to 420,498.44, 580,283.62 and 229,510.12 is: 316,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.44 : 580,283.62 = 229,510.12 : x
  2. Step 2: Convert to fraction form
    420,498.44/580,283.62 = 229,510.12/x
  3. Step 3: Cross multiply
    420,498.44x = 580,283.62 × 229,510.12
  4. Step 4: Simplify right side
    420,498.44x = 133,180,963,260.23
  5. Step 5: Solve for x
    x = 133,180,963,260.23/420,498.44
  6. Step 6: Final answer
    x = 316,721.66

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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.