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Finding the Fourth Proportional to 492,012.32, 738,251.60 and 292,726.40

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Solution

The fourth proportional to 492,012.32, 738,251.60 and 292,726.40 is: 439,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,012.32 : 738,251.60 = 292,726.40 : x
  2. Step 2: Convert to fraction form
    492,012.32/738,251.60 = 292,726.40/x
  3. Step 3: Cross multiply
    492,012.32x = 738,251.60 × 292,726.40
  4. Step 4: Simplify right side
    492,012.32x = 216,105,733,162.24
  5. Step 5: Solve for x
    x = 216,105,733,162.24/492,012.32
  6. Step 6: Final answer
    x = 439,228.30

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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.