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Finding the Fourth Proportional to 270,000.70, 405,001.05 and 194,962.30

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Solution

The fourth proportional to 270,000.70, 405,001.05 and 194,962.30 is: 292,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,000.70 : 405,001.05 = 194,962.30 : x
  2. Step 2: Convert to fraction form
    270,000.70/405,001.05 = 194,962.30/x
  3. Step 3: Cross multiply
    270,000.70x = 405,001.05 × 194,962.30
  4. Step 4: Simplify right side
    270,000.70x = 78,959,936,210.42
  5. Step 5: Solve for x
    x = 78,959,936,210.42/270,000.70
  6. Step 6: Final answer
    x = 292,443.45

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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.