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Finding the Fourth Proportional to 296,892.38, 409,711.48 and 162,756.38

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Solution

The fourth proportional to 296,892.38, 409,711.48 and 162,756.38 is: 224,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892.38 : 409,711.48 = 162,756.38 : x
  2. Step 2: Convert to fraction form
    296,892.38/409,711.48 = 162,756.38/x
  3. Step 3: Cross multiply
    296,892.38x = 409,711.48 × 162,756.38
  4. Step 4: Simplify right side
    296,892.38x = 66,683,154,873.79
  5. Step 5: Solve for x
    x = 66,683,154,873.79/296,892.38
  6. Step 6: Final answer
    x = 224,603.80

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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.