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Finding the Fourth Proportional to 474,527.53, 711,644.82 and 137,593.01

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Solution

The fourth proportional to 474,527.53, 711,644.82 and 137,593.01 is: 206,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,527.53 : 711,644.82 = 137,593.01 : x
  2. Step 2: Convert to fraction form
    474,527.53/711,644.82 = 137,593.01/x
  3. Step 3: Cross multiply
    474,527.53x = 711,644.82 × 137,593.01
  4. Step 4: Simplify right side
    474,527.53x = 97,917,354,750.48
  5. Step 5: Solve for x
    x = 97,917,354,750.48/474,527.53
  6. Step 6: Final answer
    x = 206,347.05

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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.