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Finding the Fourth Proportional to 316,265.72, 474,554.40 and 147,797.68

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Solution

The fourth proportional to 316,265.72, 474,554.40 and 147,797.68 is: 221,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,265.72 : 474,554.40 = 147,797.68 : x
  2. Step 2: Convert to fraction form
    316,265.72/474,554.40 = 147,797.68/x
  3. Step 3: Cross multiply
    316,265.72x = 474,554.40 × 147,797.68
  4. Step 4: Simplify right side
    316,265.72x = 70,138,039,353.79
  5. Step 5: Solve for x
    x = 70,138,039,353.79/316,265.72
  6. Step 6: Final answer
    x = 221,769.34

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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.