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Finding the Fourth Proportional to 312,962.88, 431,877.12 and 185,562.24

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Solution

The fourth proportional to 312,962.88, 431,877.12 and 185,562.24 is: 256,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,962.88 : 431,877.12 = 185,562.24 : x
  2. Step 2: Convert to fraction form
    312,962.88/431,877.12 = 185,562.24/x
  3. Step 3: Cross multiply
    312,962.88x = 431,877.12 × 185,562.24
  4. Step 4: Simplify right side
    312,962.88x = 80,140,085,791.95
  5. Step 5: Solve for x
    x = 80,140,085,791.95/312,962.88
  6. Step 6: Final answer
    x = 256,068.98

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1.5x scale

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.