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Finding the Fourth Proportional to 470,902.68, 649,853.82 and 256,044.20

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Solution

The fourth proportional to 470,902.68, 649,853.82 and 256,044.20 is: 353,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,902.68 : 649,853.82 = 256,044.20 : x
  2. Step 2: Convert to fraction form
    470,902.68/649,853.82 = 256,044.20/x
  3. Step 3: Cross multiply
    470,902.68x = 649,853.82 × 256,044.20
  4. Step 4: Simplify right side
    470,902.68x = 166,391,298,209.58
  5. Step 5: Solve for x
    x = 166,391,298,209.58/470,902.68
  6. Step 6: Final answer
    x = 353,345.41

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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.