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Finding the Fourth Proportional to 492,648.87, 738,645.26 and 177,064.77

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Solution

The fourth proportional to 492,648.87, 738,645.26 and 177,064.77 is: 265,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,648.87 : 738,645.26 = 177,064.77 : x
  2. Step 2: Convert to fraction form
    492,648.87/738,645.26 = 177,064.77/x
  3. Step 3: Cross multiply
    492,648.87x = 738,645.26 × 177,064.77
  4. Step 4: Simplify right side
    492,648.87x = 130,788,053,073.49
  5. Step 5: Solve for x
    x = 130,788,053,073.49/492,648.87
  6. Step 6: Final answer
    x = 265,479.25

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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.