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Finding the Fourth Proportional to 474,645.38, 711,949.42 and 174,996.40

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Solution

The fourth proportional to 474,645.38, 711,949.42 and 174,996.40 is: 262,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,645.38 : 711,949.42 = 174,996.40 : x
  2. Step 2: Convert to fraction form
    474,645.38/711,949.42 = 174,996.40/x
  3. Step 3: Cross multiply
    474,645.38x = 711,949.42 × 174,996.40
  4. Step 4: Simplify right side
    474,645.38x = 124,588,585,482.09
  5. Step 5: Solve for x
    x = 124,588,585,482.09/474,645.38
  6. Step 6: Final answer
    x = 262,487.72

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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.