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Finding the Fourth Proportional to 296,542.84, 409,258.47 and 169,237.57

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Solution

The fourth proportional to 296,542.84, 409,258.47 and 169,237.57 is: 233,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,542.84 : 409,258.47 = 169,237.57 : x
  2. Step 2: Convert to fraction form
    296,542.84/409,258.47 = 169,237.57/x
  3. Step 3: Cross multiply
    296,542.84x = 409,258.47 × 169,237.57
  4. Step 4: Simplify right side
    296,542.84x = 69,261,908,964.72
  5. Step 5: Solve for x
    x = 69,261,908,964.72/296,542.84
  6. Step 6: Final answer
    x = 233,564.60

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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.