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Finding the Fourth Proportional to 492,708.30, 739,062.45 and 177,124.20

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Solution

The fourth proportional to 492,708.30, 739,062.45 and 177,124.20 is: 265,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,708.30 : 739,062.45 = 177,124.20 : x
  2. Step 2: Convert to fraction form
    492,708.30/739,062.45 = 177,124.20/x
  3. Step 3: Cross multiply
    492,708.30x = 739,062.45 × 177,124.20
  4. Step 4: Simplify right side
    492,708.30x = 130,905,845,206.29
  5. Step 5: Solve for x
    x = 130,905,845,206.29/492,708.30
  6. Step 6: Final answer
    x = 265,686.30

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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.