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Finding the Fourth Proportional to 312,840.16, 431,606.28 and 205,468.40

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Solution

The fourth proportional to 312,840.16, 431,606.28 and 205,468.40 is: 283,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,840.16 : 431,606.28 = 205,468.40 : x
  2. Step 2: Convert to fraction form
    312,840.16/431,606.28 = 205,468.40/x
  3. Step 3: Cross multiply
    312,840.16x = 431,606.28 × 205,468.40
  4. Step 4: Simplify right side
    312,840.16x = 88,681,451,781.55
  5. Step 5: Solve for x
    x = 88,681,451,781.55/312,840.16
  6. Step 6: Final answer
    x = 283,472.08

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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.