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Finding the Fourth Proportional to 513,235.88, 708,250.79 and 283,789.16

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Solution

The fourth proportional to 513,235.88, 708,250.79 and 283,789.16 is: 391,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,235.88 : 708,250.79 = 283,789.16 : x
  2. Step 2: Convert to fraction form
    513,235.88/708,250.79 = 283,789.16/x
  3. Step 3: Cross multiply
    513,235.88x = 708,250.79 × 283,789.16
  4. Step 4: Simplify right side
    513,235.88x = 200,993,893,931.66
  5. Step 5: Solve for x
    x = 200,993,893,931.66/513,235.88
  6. Step 6: Final answer
    x = 391,620.90

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1.5x scale

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.