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Finding the Fourth Proportional to 310,914.18, 429,023.42 and 196,149.54

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Solution

The fourth proportional to 310,914.18, 429,023.42 and 196,149.54 is: 270,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,914.18 : 429,023.42 = 196,149.54 : x
  2. Step 2: Convert to fraction form
    310,914.18/429,023.42 = 196,149.54/x
  3. Step 3: Cross multiply
    310,914.18x = 429,023.42 × 196,149.54
  4. Step 4: Simplify right side
    310,914.18x = 84,152,746,482.23
  5. Step 5: Solve for x
    x = 84,152,746,482.23/310,914.18
  6. Step 6: Final answer
    x = 270,662.30

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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.