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Finding the Fourth Proportional to 474,189.08, 711,475.92 and 207,809.24

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Solution

The fourth proportional to 474,189.08, 711,475.92 and 207,809.24 is: 311,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,189.08 : 711,475.92 = 207,809.24 : x
  2. Step 2: Convert to fraction form
    474,189.08/711,475.92 = 207,809.24/x
  3. Step 3: Cross multiply
    474,189.08x = 711,475.92 × 207,809.24
  4. Step 4: Simplify right side
    474,189.08x = 147,851,270,213.50
  5. Step 5: Solve for x
    x = 147,851,270,213.50/474,189.08
  6. Step 6: Final answer
    x = 311,798.13

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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.