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Finding the Fourth Proportional to 491,592.63, 678,498.32 and 310,182.35

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Solution

The fourth proportional to 491,592.63, 678,498.32 and 310,182.35 is: 428,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592.63 : 678,498.32 = 310,182.35 : x
  2. Step 2: Convert to fraction form
    491,592.63/678,498.32 = 310,182.35/x
  3. Step 3: Cross multiply
    491,592.63x = 678,498.32 × 310,182.35
  4. Step 4: Simplify right side
    491,592.63x = 210,458,198,425.25
  5. Step 5: Solve for x
    x = 210,458,198,425.25/491,592.63
  6. Step 6: Final answer
    x = 428,115.04

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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.