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Finding the Fourth Proportional to 474,554.64, 711,938.76 and 150,362.24

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Solution

The fourth proportional to 474,554.64, 711,938.76 and 150,362.24 is: 225,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,554.64 : 711,938.76 = 150,362.24 : x
  2. Step 2: Convert to fraction form
    474,554.64/711,938.76 = 150,362.24/x
  3. Step 3: Cross multiply
    474,554.64x = 711,938.76 × 150,362.24
  4. Step 4: Simplify right side
    474,554.64x = 107,048,704,540.67
  5. Step 5: Solve for x
    x = 107,048,704,540.67/474,554.64
  6. Step 6: Final answer
    x = 225,577.20

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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.