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Finding the Fourth Proportional to 296,151.59, 443,762.44 and 201,426.95

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Solution

The fourth proportional to 296,151.59, 443,762.44 and 201,426.95 is: 301,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,151.59 : 443,762.44 = 201,426.95 : x
  2. Step 2: Convert to fraction form
    296,151.59/443,762.44 = 201,426.95/x
  3. Step 3: Cross multiply
    296,151.59x = 443,762.44 × 201,426.95
  4. Step 4: Simplify right side
    296,151.59x = 89,385,712,091.38
  5. Step 5: Solve for x
    x = 89,385,712,091.38/296,151.59
  6. Step 6: Final answer
    x = 301,824.19

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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.