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Finding the Fourth Proportional to 474,031.31, 711,327.60 and 174,722.13

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Solution

The fourth proportional to 474,031.31, 711,327.60 and 174,722.13 is: 262,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,031.31 : 711,327.60 = 174,722.13 : x
  2. Step 2: Convert to fraction form
    474,031.31/711,327.60 = 174,722.13/x
  3. Step 3: Cross multiply
    474,031.31x = 711,327.60 × 174,722.13
  4. Step 4: Simplify right side
    474,031.31x = 124,284,673,399.79
  5. Step 5: Solve for x
    x = 124,284,673,399.79/474,031.31
  6. Step 6: Final answer
    x = 262,186.64

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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.