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Finding the Fourth Proportional to 466,143.20, 699,214.80 and 413,655.20

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Solution

The fourth proportional to 466,143.20, 699,214.80 and 413,655.20 is: 620,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,143.20 : 699,214.80 = 413,655.20 : x
  2. Step 2: Convert to fraction form
    466,143.20/699,214.80 = 413,655.20/x
  3. Step 3: Cross multiply
    466,143.20x = 699,214.80 × 413,655.20
  4. Step 4: Simplify right side
    466,143.20x = 289,233,837,936.96
  5. Step 5: Solve for x
    x = 289,233,837,936.96/466,143.20
  6. Step 6: Final answer
    x = 620,482.80

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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.