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Finding the Fourth Proportional to 297,113.60, 445,708.80 and 147,430.40

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Solution

The fourth proportional to 297,113.60, 445,708.80 and 147,430.40 is: 221,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,113.60 : 445,708.80 = 147,430.40 : x
  2. Step 2: Convert to fraction form
    297,113.60/445,708.80 = 147,430.40/x
  3. Step 3: Cross multiply
    297,113.60x = 445,708.80 × 147,430.40
  4. Step 4: Simplify right side
    297,113.60x = 65,711,026,667.52
  5. Step 5: Solve for x
    x = 65,711,026,667.52/297,113.60
  6. Step 6: Final answer
    x = 221,164.65

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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.