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Finding the Fourth Proportional to 470,788.65, 649,680.67 and 255,934.13

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Solution

The fourth proportional to 470,788.65, 649,680.67 and 255,934.13 is: 353,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,788.65 : 649,680.67 = 255,934.13 : x
  2. Step 2: Convert to fraction form
    470,788.65/649,680.67 = 255,934.13/x
  3. Step 3: Cross multiply
    470,788.65x = 649,680.67 × 255,934.13
  4. Step 4: Simplify right side
    470,788.65x = 166,275,457,054.27
  5. Step 5: Solve for x
    x = 166,275,457,054.27/470,788.65
  6. Step 6: Final answer
    x = 353,184.93

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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.