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Finding the Fourth Proportional to 304,084.86, 419,624.73 and 168,110.16

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Solution

The fourth proportional to 304,084.86, 419,624.73 and 168,110.16 is: 231,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,084.86 : 419,624.73 = 168,110.16 : x
  2. Step 2: Convert to fraction form
    304,084.86/419,624.73 = 168,110.16/x
  3. Step 3: Cross multiply
    304,084.86x = 419,624.73 × 168,110.16
  4. Step 4: Simplify right side
    304,084.86x = 70,543,180,500.26
  5. Step 5: Solve for x
    x = 70,543,180,500.26/304,084.86
  6. Step 6: Final answer
    x = 231,985.18

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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.