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Finding the Fourth Proportional to 400,390.65, 600,462.42 and 116,102.16

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Solution

The fourth proportional to 400,390.65, 600,462.42 and 116,102.16 is: 174,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,390.65 : 600,462.42 = 116,102.16 : x
  2. Step 2: Convert to fraction form
    400,390.65/600,462.42 = 116,102.16/x
  3. Step 3: Cross multiply
    400,390.65x = 600,462.42 × 116,102.16
  4. Step 4: Simplify right side
    400,390.65x = 69,714,983,960.83
  5. Step 5: Solve for x
    x = 69,714,983,960.83/400,390.65
  6. Step 6: Final answer
    x = 174,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.