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Finding the Fourth Proportional to 414,165.24, 621,248.76 and 114,646.68

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Solution

The fourth proportional to 414,165.24, 621,248.76 and 114,646.68 is: 171,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,165.24 : 621,248.76 = 114,646.68 : x
  2. Step 2: Convert to fraction form
    414,165.24/621,248.76 = 114,646.68/x
  3. Step 3: Cross multiply
    414,165.24x = 621,248.76 × 114,646.68
  4. Step 4: Simplify right side
    414,165.24x = 71,224,107,788.12
  5. Step 5: Solve for x
    x = 71,224,107,788.12/414,165.24
  6. Step 6: Final answer
    x = 171,970.27

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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.