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Finding the Fourth Proportional to 470,730.72, 649,609.56 and 255,870.48

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Solution

The fourth proportional to 470,730.72, 649,609.56 and 255,870.48 is: 353,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.72 : 649,609.56 = 255,870.48 : x
  2. Step 2: Convert to fraction form
    470,730.72/649,609.56 = 255,870.48/x
  3. Step 3: Cross multiply
    470,730.72x = 649,609.56 × 255,870.48
  4. Step 4: Simplify right side
    470,730.72x = 166,215,909,929.79
  5. Step 5: Solve for x
    x = 166,215,909,929.79/470,730.72
  6. Step 6: Final answer
    x = 353,101.90

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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.