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Finding the Fourth Proportional to 412,782.11, 569,112.02 and 267,330.89

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Solution

The fourth proportional to 412,782.11, 569,112.02 and 267,330.89 is: 368,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,782.11 : 569,112.02 = 267,330.89 : x
  2. Step 2: Convert to fraction form
    412,782.11/569,112.02 = 267,330.89/x
  3. Step 3: Cross multiply
    412,782.11x = 569,112.02 × 267,330.89
  4. Step 4: Simplify right side
    412,782.11x = 152,141,221,479.64
  5. Step 5: Solve for x
    x = 152,141,221,479.64/412,782.11
  6. Step 6: Final answer
    x = 368,575.13

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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.