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Finding the Fourth Proportional to 296,409.68, 409,281.15 and 273,740.38

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Solution

The fourth proportional to 296,409.68, 409,281.15 and 273,740.38 is: 377,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,409.68 : 409,281.15 = 273,740.38 : x
  2. Step 2: Convert to fraction form
    296,409.68/409,281.15 = 273,740.38/x
  3. Step 3: Cross multiply
    296,409.68x = 409,281.15 × 273,740.38
  4. Step 4: Simplify right side
    296,409.68x = 112,036,777,531.16
  5. Step 5: Solve for x
    x = 112,036,777,531.16/296,409.68
  6. Step 6: Final answer
    x = 377,979.48

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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.