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Finding the Fourth Proportional to 312,609.40, 468,914.10 and 146,721.40

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Solution

The fourth proportional to 312,609.40, 468,914.10 and 146,721.40 is: 220,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,609.40 : 468,914.10 = 146,721.40 : x
  2. Step 2: Convert to fraction form
    312,609.40/468,914.10 = 146,721.40/x
  3. Step 3: Cross multiply
    312,609.40x = 468,914.10 × 146,721.40
  4. Step 4: Simplify right side
    312,609.40x = 68,799,733,231.74
  5. Step 5: Solve for x
    x = 68,799,733,231.74/312,609.40
  6. Step 6: Final answer
    x = 220,082.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.