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Finding the Fourth Proportional to 470,323.32, 649,053.42 and 255,463.80

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Solution

The fourth proportional to 470,323.32, 649,053.42 and 255,463.80 is: 352,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,323.32 : 649,053.42 = 255,463.80 : x
  2. Step 2: Convert to fraction form
    470,323.32/649,053.42 = 255,463.80/x
  3. Step 3: Cross multiply
    470,323.32x = 649,053.42 × 255,463.80
  4. Step 4: Simplify right side
    470,323.32x = 165,809,653,076.20
  5. Step 5: Solve for x
    x = 165,809,653,076.20/470,323.32
  6. Step 6: Final answer
    x = 352,543.98

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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.