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Finding the Fourth Proportional to 512,267.89, 706,926.38 and 282,839.47

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Solution

The fourth proportional to 512,267.89, 706,926.38 and 282,839.47 is: 390,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.89 : 706,926.38 = 282,839.47 : x
  2. Step 2: Convert to fraction form
    512,267.89/706,926.38 = 282,839.47/x
  3. Step 3: Cross multiply
    512,267.89x = 706,926.38 × 282,839.47
  4. Step 4: Simplify right side
    512,267.89x = 199,946,683,708.65
  5. Step 5: Solve for x
    x = 199,946,683,708.65/512,267.89
  6. Step 6: Final answer
    x = 390,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.