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Finding the Fourth Proportional to 462,723.87, 638,591.48 and 258,793.77

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Solution

The fourth proportional to 462,723.87, 638,591.48 and 258,793.77 is: 357,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,723.87 : 638,591.48 = 258,793.77 : x
  2. Step 2: Convert to fraction form
    462,723.87/638,591.48 = 258,793.77/x
  3. Step 3: Cross multiply
    462,723.87x = 638,591.48 × 258,793.77
  4. Step 4: Simplify right side
    462,723.87x = 165,263,495,305.11
  5. Step 5: Solve for x
    x = 165,263,495,305.11/462,723.87
  6. Step 6: Final answer
    x = 357,153.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.