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Finding the Fourth Proportional to 292,365.28, 403,464.14 and 158,229.28

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Solution

The fourth proportional to 292,365.28, 403,464.14 and 158,229.28 is: 218,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,365.28 : 403,464.14 = 158,229.28 : x
  2. Step 2: Convert to fraction form
    292,365.28/403,464.14 = 158,229.28/x
  3. Step 3: Cross multiply
    292,365.28x = 403,464.14 × 158,229.28
  4. Step 4: Simplify right side
    292,365.28x = 63,839,840,378.02
  5. Step 5: Solve for x
    x = 63,839,840,378.02/292,365.28
  6. Step 6: Final answer
    x = 218,356.44

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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.