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Finding the Fourth Proportional to 362,012.48, 497,805.70 and 314,182.78

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Solution

The fourth proportional to 362,012.48, 497,805.70 and 314,182.78 is: 432,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,012.48 : 497,805.70 = 314,182.78 : x
  2. Step 2: Convert to fraction form
    362,012.48/497,805.70 = 314,182.78/x
  3. Step 3: Cross multiply
    362,012.48x = 497,805.70 × 314,182.78
  4. Step 4: Simplify right side
    362,012.48x = 156,401,978,725.85
  5. Step 5: Solve for x
    x = 156,401,978,725.85/362,012.48
  6. Step 6: Final answer
    x = 432,034.77

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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.