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Finding the Fourth Proportional to 288,000.70, 432,001.05 and 199,066.30

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Solution

The fourth proportional to 288,000.70, 432,001.05 and 199,066.30 is: 298,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.70 : 432,001.05 = 199,066.30 : x
  2. Step 2: Convert to fraction form
    288,000.70/432,001.05 = 199,066.30/x
  3. Step 3: Cross multiply
    288,000.70x = 432,001.05 × 199,066.30
  4. Step 4: Simplify right side
    288,000.70x = 85,996,850,619.62
  5. Step 5: Solve for x
    x = 85,996,850,619.62/288,000.70
  6. Step 6: Final answer
    x = 298,599.45

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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.