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Finding the Fourth Proportional to 474,283.38, 711,434.33 and 174,609.70

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Solution

The fourth proportional to 474,283.38, 711,434.33 and 174,609.70 is: 261,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,283.38 : 711,434.33 = 174,609.70 : x
  2. Step 2: Convert to fraction form
    474,283.38/711,434.33 = 174,609.70/x
  3. Step 3: Cross multiply
    474,283.38x = 711,434.33 × 174,609.70
  4. Step 4: Simplify right side
    474,283.38x = 124,223,334,931.00
  5. Step 5: Solve for x
    x = 124,223,334,931.00/474,283.38
  6. Step 6: Final answer
    x = 261,917.96

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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.