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Finding the Fourth Proportional to 309,446.75, 464,176.61 and 99,084.08

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Solution

The fourth proportional to 309,446.75, 464,176.61 and 99,084.08 is: 148,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,446.75 : 464,176.61 = 99,084.08 : x
  2. Step 2: Convert to fraction form
    309,446.75/464,176.61 = 99,084.08/x
  3. Step 3: Cross multiply
    309,446.75x = 464,176.61 × 99,084.08
  4. Step 4: Simplify right side
    309,446.75x = 45,992,509,543.07
  5. Step 5: Solve for x
    x = 45,992,509,543.07/309,446.75
  6. Step 6: Final answer
    x = 148,628.19

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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.