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Finding the Fourth Proportional to 513,261.38, 708,293.30 and 283,813.62

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Solution

The fourth proportional to 513,261.38, 708,293.30 and 283,813.62 is: 391,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,261.38 : 708,293.30 = 283,813.62 : x
  2. Step 2: Convert to fraction form
    513,261.38/708,293.30 = 283,813.62/x
  3. Step 3: Cross multiply
    513,261.38x = 708,293.30 × 283,813.62
  4. Step 4: Simplify right side
    513,261.38x = 201,023,284,075.68
  5. Step 5: Solve for x
    x = 201,023,284,075.68/513,261.38
  6. Step 6: Final answer
    x = 391,658.70

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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.