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Finding the Fourth Proportional to 498,283.44, 747,951.21 and 232,300.50

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Solution

The fourth proportional to 498,283.44, 747,951.21 and 232,300.50 is: 348,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,283.44 : 747,951.21 = 232,300.50 : x
  2. Step 2: Convert to fraction form
    498,283.44/747,951.21 = 232,300.50/x
  3. Step 3: Cross multiply
    498,283.44x = 747,951.21 × 232,300.50
  4. Step 4: Simplify right side
    498,283.44x = 173,749,440,058.61
  5. Step 5: Solve for x
    x = 173,749,440,058.61/498,283.44
  6. Step 6: Final answer
    x = 348,696.00

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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.