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Finding the Fourth Proportional to 301,156.57, 415,689.13 and 193,726.68

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Solution

The fourth proportional to 301,156.57, 415,689.13 and 193,726.68 is: 267,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,156.57 : 415,689.13 = 193,726.68 : x
  2. Step 2: Convert to fraction form
    301,156.57/415,689.13 = 193,726.68/x
  3. Step 3: Cross multiply
    301,156.57x = 415,689.13 × 193,726.68
  4. Step 4: Simplify right side
    301,156.57x = 80,530,075,066.99
  5. Step 5: Solve for x
    x = 80,530,075,066.99/301,156.57
  6. Step 6: Final answer
    x = 267,402.68

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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.