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Finding the Fourth Proportional to 470,571.92, 649,387.98 and 255,712.02

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Solution

The fourth proportional to 470,571.92, 649,387.98 and 255,712.02 is: 352,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,571.92 : 649,387.98 = 255,712.02 : x
  2. Step 2: Convert to fraction form
    470,571.92/649,387.98 = 255,712.02/x
  3. Step 3: Cross multiply
    470,571.92x = 649,387.98 × 255,712.02
  4. Step 4: Simplify right side
    470,571.92x = 166,056,312,129.52
  5. Step 5: Solve for x
    x = 166,056,312,129.52/470,571.92
  6. Step 6: Final answer
    x = 352,881.90

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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.