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Finding the Fourth Proportional to 296,708.24, 409,483.68 and 169,424.84

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Solution

The fourth proportional to 296,708.24, 409,483.68 and 169,424.84 is: 233,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,708.24 : 409,483.68 = 169,424.84 : x
  2. Step 2: Convert to fraction form
    296,708.24/409,483.68 = 169,424.84/x
  3. Step 3: Cross multiply
    296,708.24x = 409,483.68 × 169,424.84
  4. Step 4: Simplify right side
    296,708.24x = 69,376,706,966.61
  5. Step 5: Solve for x
    x = 69,376,706,966.61/296,708.24
  6. Step 6: Final answer
    x = 233,821.30

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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.