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Finding the Fourth Proportional to 512,087.28, 706,567.08 and 297,102.64

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Solution

The fourth proportional to 512,087.28, 706,567.08 and 297,102.64 is: 409,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,087.28 : 706,567.08 = 297,102.64 : x
  2. Step 2: Convert to fraction form
    512,087.28/706,567.08 = 297,102.64/x
  3. Step 3: Cross multiply
    512,087.28x = 706,567.08 × 297,102.64
  4. Step 4: Simplify right side
    512,087.28x = 209,922,944,805.09
  5. Step 5: Solve for x
    x = 209,922,944,805.09/512,087.28
  6. Step 6: Final answer
    x = 409,935.87

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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.