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Finding the Fourth Proportional to 470,358.57, 649,098.24 and 255,498.72

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Solution

The fourth proportional to 470,358.57, 649,098.24 and 255,498.72 is: 352,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,358.57 : 649,098.24 = 255,498.72 : x
  2. Step 2: Convert to fraction form
    470,358.57/649,098.24 = 255,498.72/x
  3. Step 3: Cross multiply
    470,358.57x = 649,098.24 × 255,498.72
  4. Step 4: Simplify right side
    470,358.57x = 165,843,769,474.25
  5. Step 5: Solve for x
    x = 165,843,769,474.25/470,358.57
  6. Step 6: Final answer
    x = 352,590.09

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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.