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Finding the Fourth Proportional to 473,142.27, 706,092.57 and 422,655.36

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Solution

The fourth proportional to 473,142.27, 706,092.57 and 422,655.36 is: 630,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,142.27 : 706,092.57 = 422,655.36 : x
  2. Step 2: Convert to fraction form
    473,142.27/706,092.57 = 422,655.36/x
  3. Step 3: Cross multiply
    473,142.27x = 706,092.57 × 422,655.36
  4. Step 4: Simplify right side
    473,142.27x = 298,433,809,366.68
  5. Step 5: Solve for x
    x = 298,433,809,366.68/473,142.27
  6. Step 6: Final answer
    x = 630,748.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.