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Finding the Fourth Proportional to 492,077.80, 738,462.30 and 315,015.40

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Solution

The fourth proportional to 492,077.80, 738,462.30 and 315,015.40 is: 472,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,077.80 : 738,462.30 = 315,015.40 : x
  2. Step 2: Convert to fraction form
    492,077.80/738,462.30 = 315,015.40/x
  3. Step 3: Cross multiply
    492,077.80x = 738,462.30 × 315,015.40
  4. Step 4: Simplify right side
    492,077.80x = 232,626,996,819.42
  5. Step 5: Solve for x
    x = 232,626,996,819.42/492,077.80
  6. Step 6: Final answer
    x = 472,744.34

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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.