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Finding the Fourth Proportional to 470,347.72, 649,091.92 and 255,500.08

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Solution

The fourth proportional to 470,347.72, 649,091.92 and 255,500.08 is: 352,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.72 : 649,091.92 = 255,500.08 : x
  2. Step 2: Convert to fraction form
    470,347.72/649,091.92 = 255,500.08/x
  3. Step 3: Cross multiply
    470,347.72x = 649,091.92 × 255,500.08
  4. Step 4: Simplify right side
    470,347.72x = 165,843,035,225.87
  5. Step 5: Solve for x
    x = 165,843,035,225.87/470,347.72
  6. Step 6: Final answer
    x = 352,596.66

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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.