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Finding the Fourth Proportional to 400,409.52, 600,707.70 and 116,106

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Solution

The fourth proportional to 400,409.52, 600,707.70 and 116,106 is: 174,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,409.52 : 600,707.70 = 116,106 : x
  2. Step 2: Convert to fraction form
    400,409.52/600,707.70 = 116,106/x
  3. Step 3: Cross multiply
    400,409.52x = 600,707.70 × 116,106
  4. Step 4: Simplify right side
    400,409.52x = 69,745,768,216.20
  5. Step 5: Solve for x
    x = 69,745,768,216.20/400,409.52
  6. Step 6: Final answer
    x = 174,186.09

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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.