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Finding the Fourth Proportional to 314,327.69, 433,855.64 and 193,570.22

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Solution

The fourth proportional to 314,327.69, 433,855.64 and 193,570.22 is: 267,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,327.69 : 433,855.64 = 193,570.22 : x
  2. Step 2: Convert to fraction form
    314,327.69/433,855.64 = 193,570.22/x
  3. Step 3: Cross multiply
    314,327.69x = 433,855.64 × 193,570.22
  4. Step 4: Simplify right side
    314,327.69x = 83,981,533,251.61
  5. Step 5: Solve for x
    x = 83,981,533,251.61/314,327.69
  6. Step 6: Final answer
    x = 267,178.29

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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.