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Finding the Fourth Proportional to 668,491.68, 1,002,238.82 and 402,189.80

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Solution

The fourth proportional to 668,491.68, 1,002,238.82 and 402,189.80 is: 602,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,491.68 : 1,002,238.82 = 402,189.80 : x
  2. Step 2: Convert to fraction form
    668,491.68/1,002,238.82 = 402,189.80/x
  3. Step 3: Cross multiply
    668,491.68x = 1,002,238.82 × 402,189.80
  4. Step 4: Simplify right side
    668,491.68x = 403,090,230,568.04
  5. Step 5: Solve for x
    x = 403,090,230,568.04/668,491.68
  6. Step 6: Final answer
    x = 602,984.66

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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.