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Finding the Fourth Proportional to 296,716.90, 409,470.18 and 160,750.24

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Solution

The fourth proportional to 296,716.90, 409,470.18 and 160,750.24 is: 221,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,716.90 : 409,470.18 = 160,750.24 : x
  2. Step 2: Convert to fraction form
    296,716.90/409,470.18 = 160,750.24/x
  3. Step 3: Cross multiply
    296,716.90x = 409,470.18 × 160,750.24
  4. Step 4: Simplify right side
    296,716.90x = 65,822,429,707.84
  5. Step 5: Solve for x
    x = 65,822,429,707.84/296,716.90
  6. Step 6: Final answer
    x = 221,835.80

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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.