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Finding the Fourth Proportional to 414,484.32, 621,726.72 and 165,341.28

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Solution

The fourth proportional to 414,484.32, 621,726.72 and 165,341.28 is: 248,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,484.32 : 621,726.72 = 165,341.28 : x
  2. Step 2: Convert to fraction form
    414,484.32/621,726.72 = 165,341.28/x
  3. Step 3: Cross multiply
    414,484.32x = 621,726.72 × 165,341.28
  4. Step 4: Simplify right side
    414,484.32x = 102,797,091,695.00
  5. Step 5: Solve for x
    x = 102,797,091,695.00/414,484.32
  6. Step 6: Final answer
    x = 248,012.02

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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.