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Finding the Fourth Proportional to 462,437.82, 693,712.26 and 162,856.44

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Solution

The fourth proportional to 462,437.82, 693,712.26 and 162,856.44 is: 244,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,437.82 : 693,712.26 = 162,856.44 : x
  2. Step 2: Convert to fraction form
    462,437.82/693,712.26 = 162,856.44/x
  3. Step 3: Cross multiply
    462,437.82x = 693,712.26 × 162,856.44
  4. Step 4: Simplify right side
    462,437.82x = 112,975,509,047.95
  5. Step 5: Solve for x
    x = 112,975,509,047.95/462,437.82
  6. Step 6: Final answer
    x = 244,304.22

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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.