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Finding the Fourth Proportional to 461,820.95, 692,770.71 and 162,275.66

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Solution

The fourth proportional to 461,820.95, 692,770.71 and 162,275.66 is: 243,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,820.95 : 692,770.71 = 162,275.66 : x
  2. Step 2: Convert to fraction form
    461,820.95/692,770.71 = 162,275.66/x
  3. Step 3: Cross multiply
    461,820.95x = 692,770.71 × 162,275.66
  4. Step 4: Simplify right side
    461,820.95x = 112,419,824,193.92
  5. Step 5: Solve for x
    x = 112,419,824,193.92/461,820.95
  6. Step 6: Final answer
    x = 243,427.29

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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.