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Finding the Fourth Proportional to 313,052.50, 469,578.75 and 146,840.50

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Solution

The fourth proportional to 313,052.50, 469,578.75 and 146,840.50 is: 220,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,052.50 : 469,578.75 = 146,840.50 : x
  2. Step 2: Convert to fraction form
    313,052.50/469,578.75 = 146,840.50/x
  3. Step 3: Cross multiply
    313,052.50x = 469,578.75 × 146,840.50
  4. Step 4: Simplify right side
    313,052.50x = 68,953,178,439.38
  5. Step 5: Solve for x
    x = 68,953,178,439.38/313,052.50
  6. Step 6: Final answer
    x = 220,260.75

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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.