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Finding the Fourth Proportional to 416,191.80, 624,374.10 and 135,730.20

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Solution

The fourth proportional to 416,191.80, 624,374.10 and 135,730.20 is: 203,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,191.80 : 624,374.10 = 135,730.20 : x
  2. Step 2: Convert to fraction form
    416,191.80/624,374.10 = 135,730.20/x
  3. Step 3: Cross multiply
    416,191.80x = 624,374.10 × 135,730.20
  4. Step 4: Simplify right side
    416,191.80x = 84,746,421,467.82
  5. Step 5: Solve for x
    x = 84,746,421,467.82/416,191.80
  6. Step 6: Final answer
    x = 203,623.48

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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.