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Finding the Fourth Proportional to 498,851.56, 748,254.66 and 183,285.28

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Solution

The fourth proportional to 498,851.56, 748,254.66 and 183,285.28 is: 274,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,851.56 : 748,254.66 = 183,285.28 : x
  2. Step 2: Convert to fraction form
    498,851.56/748,254.66 = 183,285.28/x
  3. Step 3: Cross multiply
    498,851.56x = 748,254.66 × 183,285.28
  4. Step 4: Simplify right side
    498,851.56x = 137,144,064,869.41
  5. Step 5: Solve for x
    x = 137,144,064,869.41/498,851.56
  6. Step 6: Final answer
    x = 274,919.59

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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.