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Finding the Fourth Proportional to 663,890.61, 994,154.28 and 411,663.74

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Solution

The fourth proportional to 663,890.61, 994,154.28 and 411,663.74 is: 616,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,890.61 : 994,154.28 = 411,663.74 : x
  2. Step 2: Convert to fraction form
    663,890.61/994,154.28 = 411,663.74/x
  3. Step 3: Cross multiply
    663,890.61x = 994,154.28 × 411,663.74
  4. Step 4: Simplify right side
    663,890.61x = 409,257,262,527.30
  5. Step 5: Solve for x
    x = 409,257,262,527.30/663,890.61
  6. Step 6: Final answer
    x = 616,452.85

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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.