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Finding the Fourth Proportional to 313,235.60, 469,853.40 and 102,894.80

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Solution

The fourth proportional to 313,235.60, 469,853.40 and 102,894.80 is: 154,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,235.60 : 469,853.40 = 102,894.80 : x
  2. Step 2: Convert to fraction form
    313,235.60/469,853.40 = 102,894.80/x
  3. Step 3: Cross multiply
    313,235.60x = 469,853.40 × 102,894.80
  4. Step 4: Simplify right side
    313,235.60x = 48,345,471,622.32
  5. Step 5: Solve for x
    x = 48,345,471,622.32/313,235.60
  6. Step 6: Final answer
    x = 154,342.20

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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.