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Finding the Fourth Proportional to 588,328.72, 881,878.68 and 288,394

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Solution

The fourth proportional to 588,328.72, 881,878.68 and 288,394 is: 432,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,328.72 : 881,878.68 = 288,394 : x
  2. Step 2: Convert to fraction form
    588,328.72/881,878.68 = 288,394/x
  3. Step 3: Cross multiply
    588,328.72x = 881,878.68 × 288,394
  4. Step 4: Simplify right side
    588,328.72x = 254,328,520,039.92
  5. Step 5: Solve for x
    x = 254,328,520,039.92/588,328.72
  6. Step 6: Final answer
    x = 432,289.83

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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.