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Finding the Fourth Proportional to 461,908.95, 692,902.71 and 162,363.66

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Solution

The fourth proportional to 461,908.95, 692,902.71 and 162,363.66 is: 243,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,908.95 : 692,902.71 = 162,363.66 : x
  2. Step 2: Convert to fraction form
    461,908.95/692,902.71 = 162,363.66/x
  3. Step 3: Cross multiply
    461,908.95x = 692,902.71 × 162,363.66
  4. Step 4: Simplify right side
    461,908.95x = 112,502,220,019.52
  5. Step 5: Solve for x
    x = 112,502,220,019.52/461,908.95
  6. Step 6: Final answer
    x = 243,559.30

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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.