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Finding the Fourth Proportional to 412,758.68, 569,397.12 and 269,602.52

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Solution

The fourth proportional to 412,758.68, 569,397.12 and 269,602.52 is: 371,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,758.68 : 569,397.12 = 269,602.52 : x
  2. Step 2: Convert to fraction form
    412,758.68/569,397.12 = 269,602.52/x
  3. Step 3: Cross multiply
    412,758.68x = 569,397.12 × 269,602.52
  4. Step 4: Simplify right side
    412,758.68x = 153,510,898,432.74
  5. Step 5: Solve for x
    x = 153,510,898,432.74/412,758.68
  6. Step 6: Final answer
    x = 371,914.40

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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.