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Finding the Fourth Proportional to 292,549.98, 438,840 and 82,204.32

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Solution

The fourth proportional to 292,549.98, 438,840 and 82,204.32 is: 123,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,549.98 : 438,840 = 82,204.32 : x
  2. Step 2: Convert to fraction form
    292,549.98/438,840 = 82,204.32/x
  3. Step 3: Cross multiply
    292,549.98x = 438,840 × 82,204.32
  4. Step 4: Simplify right side
    292,549.98x = 36,074,543,788.80
  5. Step 5: Solve for x
    x = 36,074,543,788.80/292,549.98
  6. Step 6: Final answer
    x = 123,310.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.