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Finding the Fourth Proportional to 498,852.06, 748,255.41 and 183,285.78

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Solution

The fourth proportional to 498,852.06, 748,255.41 and 183,285.78 is: 274,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,852.06 : 748,255.41 = 183,285.78 : x
  2. Step 2: Convert to fraction form
    498,852.06/748,255.41 = 183,285.78/x
  3. Step 3: Cross multiply
    498,852.06x = 748,255.41 × 183,285.78
  4. Step 4: Simplify right side
    498,852.06x = 137,144,576,461.07
  5. Step 5: Solve for x
    x = 137,144,576,461.07/498,852.06
  6. Step 6: Final answer
    x = 274,920.34

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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.