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Finding the Fourth Proportional to 513,287.45, 708,341.25 and 283,860.15

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Solution

The fourth proportional to 513,287.45, 708,341.25 and 283,860.15 is: 391,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,287.45 : 708,341.25 = 283,860.15 : x
  2. Step 2: Convert to fraction form
    513,287.45/708,341.25 = 283,860.15/x
  3. Step 3: Cross multiply
    513,287.45x = 708,341.25 × 283,860.15
  4. Step 4: Simplify right side
    513,287.45x = 201,069,851,884.38
  5. Step 5: Solve for x
    x = 201,069,851,884.38/513,287.45
  6. Step 6: Final answer
    x = 391,729.53

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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.