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Finding the Fourth Proportional to 314,000.60, 470,309.70 and 278,979.80

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Solution

The fourth proportional to 314,000.60, 470,309.70 and 278,979.80 is: 417,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.60 : 470,309.70 = 278,979.80 : x
  2. Step 2: Convert to fraction form
    314,000.60/470,309.70 = 278,979.80/x
  3. Step 3: Cross multiply
    314,000.60x = 470,309.70 × 278,979.80
  4. Step 4: Simplify right side
    314,000.60x = 131,206,906,044.06
  5. Step 5: Solve for x
    x = 131,206,906,044.06/314,000.60
  6. Step 6: Final answer
    x = 417,855.59

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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.