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Finding the Fourth Proportional to 585,466.38, 878,494.68 and 230,734.98

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Solution

The fourth proportional to 585,466.38, 878,494.68 and 230,734.98 is: 346,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,466.38 : 878,494.68 = 230,734.98 : x
  2. Step 2: Convert to fraction form
    585,466.38/878,494.68 = 230,734.98/x
  3. Step 3: Cross multiply
    585,466.38x = 878,494.68 × 230,734.98
  4. Step 4: Simplify right side
    585,466.38x = 202,699,452,419.91
  5. Step 5: Solve for x
    x = 202,699,452,419.91/585,466.38
  6. Step 6: Final answer
    x = 346,218.77

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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.