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Finding the Fourth Proportional to 488,578.70, 732,868.05 and 409,846.70

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Solution

The fourth proportional to 488,578.70, 732,868.05 and 409,846.70 is: 614,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,578.70 : 732,868.05 = 409,846.70 : x
  2. Step 2: Convert to fraction form
    488,578.70/732,868.05 = 409,846.70/x
  3. Step 3: Cross multiply
    488,578.70x = 732,868.05 × 409,846.70
  4. Step 4: Simplify right side
    488,578.70x = 300,363,551,827.94
  5. Step 5: Solve for x
    x = 300,363,551,827.94/488,578.70
  6. Step 6: Final answer
    x = 614,770.05

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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.