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Finding the Fourth Proportional to 470,347.50, 649,091.34 and 255,487.44

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Solution

The fourth proportional to 470,347.50, 649,091.34 and 255,487.44 is: 352,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.50 : 649,091.34 = 255,487.44 : x
  2. Step 2: Convert to fraction form
    470,347.50/649,091.34 = 255,487.44/x
  3. Step 3: Cross multiply
    470,347.50x = 649,091.34 × 255,487.44
  4. Step 4: Simplify right side
    470,347.50x = 165,834,684,782.77
  5. Step 5: Solve for x
    x = 165,834,684,782.77/470,347.50
  6. Step 6: Final answer
    x = 352,579.07

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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.