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Finding the Fourth Proportional to 402,475.70, 603,713.55 and 302,092.40

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Solution

The fourth proportional to 402,475.70, 603,713.55 and 302,092.40 is: 453,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,475.70 : 603,713.55 = 302,092.40 : x
  2. Step 2: Convert to fraction form
    402,475.70/603,713.55 = 302,092.40/x
  3. Step 3: Cross multiply
    402,475.70x = 603,713.55 × 302,092.40
  4. Step 4: Simplify right side
    402,475.70x = 182,377,275,232.02
  5. Step 5: Solve for x
    x = 182,377,275,232.02/402,475.70
  6. Step 6: Final answer
    x = 453,138.60

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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.