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Finding the Fourth Proportional to 382,198.80, 573,298.20 and 97,888.80

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Solution

The fourth proportional to 382,198.80, 573,298.20 and 97,888.80 is: 146,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,198.80 : 573,298.20 = 97,888.80 : x
  2. Step 2: Convert to fraction form
    382,198.80/573,298.20 = 97,888.80/x
  3. Step 3: Cross multiply
    382,198.80x = 573,298.20 × 97,888.80
  4. Step 4: Simplify right side
    382,198.80x = 56,119,472,840.16
  5. Step 5: Solve for x
    x = 56,119,472,840.16/382,198.80
  6. Step 6: Final answer
    x = 146,833.20

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Similar ratio
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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.