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Finding the Fourth Proportional to 489,006.10, 732,634.35 and 413,773.30

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Solution

The fourth proportional to 489,006.10, 732,634.35 and 413,773.30 is: 619,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,006.10 : 732,634.35 = 413,773.30 : x
  2. Step 2: Convert to fraction form
    489,006.10/732,634.35 = 413,773.30/x
  3. Step 3: Cross multiply
    489,006.10x = 732,634.35 × 413,773.30
  4. Step 4: Simplify right side
    489,006.10x = 303,144,532,692.86
  5. Step 5: Solve for x
    x = 303,144,532,692.86/489,006.10
  6. Step 6: Final answer
    x = 619,919.74

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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.