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Finding the Fourth Proportional to 462,057.40, 692,340.90 and 261,782.20

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Solution

The fourth proportional to 462,057.40, 692,340.90 and 261,782.20 is: 392,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,057.40 : 692,340.90 = 261,782.20 : x
  2. Step 2: Convert to fraction form
    462,057.40/692,340.90 = 261,782.20/x
  3. Step 3: Cross multiply
    462,057.40x = 692,340.90 × 261,782.20
  4. Step 4: Simplify right side
    462,057.40x = 181,242,523,951.98
  5. Step 5: Solve for x
    x = 181,242,523,951.98/462,057.40
  6. Step 6: Final answer
    x = 392,251.10

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1.5x scale

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.