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Finding the Fourth Proportional to 434,084.92, 650,993.46 and 153,537.64

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Solution

The fourth proportional to 434,084.92, 650,993.46 and 153,537.64 is: 230,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,084.92 : 650,993.46 = 153,537.64 : x
  2. Step 2: Convert to fraction form
    434,084.92/650,993.46 = 153,537.64/x
  3. Step 3: Cross multiply
    434,084.92x = 650,993.46 × 153,537.64
  4. Step 4: Simplify right side
    434,084.92x = 99,951,999,503.83
  5. Step 5: Solve for x
    x = 99,951,999,503.83/434,084.92
  6. Step 6: Final answer
    x = 230,259.09

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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.