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Finding the Fourth Proportional to 296,503.64, 409,167.44 and 165,682.38

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Solution

The fourth proportional to 296,503.64, 409,167.44 and 165,682.38 is: 228,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,503.64 : 409,167.44 = 165,682.38 : x
  2. Step 2: Convert to fraction form
    296,503.64/409,167.44 = 165,682.38/x
  3. Step 3: Cross multiply
    296,503.64x = 409,167.44 × 165,682.38
  4. Step 4: Simplify right side
    296,503.64x = 67,791,835,277.71
  5. Step 5: Solve for x
    x = 67,791,835,277.71/296,503.64
  6. Step 6: Final answer
    x = 228,637.45

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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.