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Finding the Fourth Proportional to 463,515.80, 695,723.07 and 223,798.76

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Solution

The fourth proportional to 463,515.80, 695,723.07 and 223,798.76 is: 335,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,515.80 : 695,723.07 = 223,798.76 : x
  2. Step 2: Convert to fraction form
    463,515.80/695,723.07 = 223,798.76/x
  3. Step 3: Cross multiply
    463,515.80x = 695,723.07 × 223,798.76
  4. Step 4: Simplify right side
    463,515.80x = 155,701,960,369.39
  5. Step 5: Solve for x
    x = 155,701,960,369.39/463,515.80
  6. Step 6: Final answer
    x = 335,915.11

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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.