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Finding the Fourth Proportional to 513,253.56, 708,305.58 and 286,908.60

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Solution

The fourth proportional to 513,253.56, 708,305.58 and 286,908.60 is: 395,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,253.56 : 708,305.58 = 286,908.60 : x
  2. Step 2: Convert to fraction form
    513,253.56/708,305.58 = 286,908.60/x
  3. Step 3: Cross multiply
    513,253.56x = 708,305.58 × 286,908.60
  4. Step 4: Simplify right side
    513,253.56x = 203,218,962,329.99
  5. Step 5: Solve for x
    x = 203,218,962,329.99/513,253.56
  6. Step 6: Final answer
    x = 395,942.63

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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.