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Finding the Fourth Proportional to 292,086.24, 403,079.28 and 157,950.24

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Solution

The fourth proportional to 292,086.24, 403,079.28 and 157,950.24 is: 217,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,086.24 : 403,079.28 = 157,950.24 : x
  2. Step 2: Convert to fraction form
    292,086.24/403,079.28 = 157,950.24/x
  3. Step 3: Cross multiply
    292,086.24x = 403,079.28 × 157,950.24
  4. Step 4: Simplify right side
    292,086.24x = 63,666,469,015.03
  5. Step 5: Solve for x
    x = 63,666,469,015.03/292,086.24
  6. Step 6: Final answer
    x = 217,971.48

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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.