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Finding the Fourth Proportional to 296,320.50, 408,925.17 and 162,187.38

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Solution

The fourth proportional to 296,320.50, 408,925.17 and 162,187.38 is: 223,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,320.50 : 408,925.17 = 162,187.38 : x
  2. Step 2: Convert to fraction form
    296,320.50/408,925.17 = 162,187.38/x
  3. Step 3: Cross multiply
    296,320.50x = 408,925.17 × 162,187.38
  4. Step 4: Simplify right side
    296,320.50x = 66,322,501,938.35
  5. Step 5: Solve for x
    x = 66,322,501,938.35/296,320.50
  6. Step 6: Final answer
    x = 223,820.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.