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Finding the Fourth Proportional to 462,723.49, 638,590.96 and 258,793.39

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Solution

The fourth proportional to 462,723.49, 638,590.96 and 258,793.39 is: 357,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,723.49 : 638,590.96 = 258,793.39 : x
  2. Step 2: Convert to fraction form
    462,723.49/638,590.96 = 258,793.39/x
  3. Step 3: Cross multiply
    462,723.49x = 638,590.96 × 258,793.39
  4. Step 4: Simplify right side
    462,723.49x = 165,263,120,483.49
  5. Step 5: Solve for x
    x = 165,263,120,483.49/462,723.49
  6. Step 6: Final answer
    x = 357,153.08

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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.