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Finding the Fourth Proportional to 311,510.20, 429,883.76 and 168,270.18

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Solution

The fourth proportional to 311,510.20, 429,883.76 and 168,270.18 is: 232,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510.20 : 429,883.76 = 168,270.18 : x
  2. Step 2: Convert to fraction form
    311,510.20/429,883.76 = 168,270.18/x
  3. Step 3: Cross multiply
    311,510.20x = 429,883.76 × 168,270.18
  4. Step 4: Simplify right side
    311,510.20x = 72,336,617,674.28
  5. Step 5: Solve for x
    x = 72,336,617,674.28/311,510.20
  6. Step 6: Final answer
    x = 232,212.68

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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.