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Finding the Fourth Proportional to 313,714.80, 470,572.20 and 266,475.60

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Solution

The fourth proportional to 313,714.80, 470,572.20 and 266,475.60 is: 399,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,714.80 : 470,572.20 = 266,475.60 : x
  2. Step 2: Convert to fraction form
    313,714.80/470,572.20 = 266,475.60/x
  3. Step 3: Cross multiply
    313,714.80x = 470,572.20 × 266,475.60
  4. Step 4: Simplify right side
    313,714.80x = 125,396,009,338.32
  5. Step 5: Solve for x
    x = 125,396,009,338.32/313,714.80
  6. Step 6: Final answer
    x = 399,713.40

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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.