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Finding the Fourth Proportional to 470,387.18, 649,152.16 and 263,659.32

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Solution

The fourth proportional to 470,387.18, 649,152.16 and 263,659.32 is: 363,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,387.18 : 649,152.16 = 263,659.32 : x
  2. Step 2: Convert to fraction form
    470,387.18/649,152.16 = 263,659.32/x
  3. Step 3: Cross multiply
    470,387.18x = 649,152.16 × 263,659.32
  4. Step 4: Simplify right side
    470,387.18x = 171,155,016,422.98
  5. Step 5: Solve for x
    x = 171,155,016,422.98/470,387.18
  6. Step 6: Final answer
    x = 363,859.86

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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.