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Finding the Fourth Proportional to 538,660.16, 743,349.12 and 312,434.72

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Solution

The fourth proportional to 538,660.16, 743,349.12 and 312,434.72 is: 431,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,660.16 : 743,349.12 = 312,434.72 : x
  2. Step 2: Convert to fraction form
    538,660.16/743,349.12 = 312,434.72/x
  3. Step 3: Cross multiply
    538,660.16x = 743,349.12 × 312,434.72
  4. Step 4: Simplify right side
    538,660.16x = 232,248,074,169.45
  5. Step 5: Solve for x
    x = 232,248,074,169.45/538,660.16
  6. Step 6: Final answer
    x = 431,158.81

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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.