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Finding the Fourth Proportional to 517,250.06, 713,698.12 and 302,348.55

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Solution

The fourth proportional to 517,250.06, 713,698.12 and 302,348.55 is: 417,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,250.06 : 713,698.12 = 302,348.55 : x
  2. Step 2: Convert to fraction form
    517,250.06/713,698.12 = 302,348.55/x
  3. Step 3: Cross multiply
    517,250.06x = 713,698.12 × 302,348.55
  4. Step 4: Simplify right side
    517,250.06x = 215,785,591,719.73
  5. Step 5: Solve for x
    x = 215,785,591,719.73/517,250.06
  6. Step 6: Final answer
    x = 417,178.48

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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.