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Finding the Fourth Proportional to 467,501.40, 701,252.10 and 409,764.60

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Solution

The fourth proportional to 467,501.40, 701,252.10 and 409,764.60 is: 614,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,501.40 : 701,252.10 = 409,764.60 : x
  2. Step 2: Convert to fraction form
    467,501.40/701,252.10 = 409,764.60/x
  3. Step 3: Cross multiply
    467,501.40x = 701,252.10 × 409,764.60
  4. Step 4: Simplify right side
    467,501.40x = 287,348,286,255.66
  5. Step 5: Solve for x
    x = 287,348,286,255.66/467,501.40
  6. Step 6: Final answer
    x = 614,646.90

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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.