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Finding the Fourth Proportional to 414,557.64, 621,829.48 and 186,726.52

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Solution

The fourth proportional to 414,557.64, 621,829.48 and 186,726.52 is: 280,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,557.64 : 621,829.48 = 186,726.52 : x
  2. Step 2: Convert to fraction form
    414,557.64/621,829.48 = 186,726.52/x
  3. Step 3: Cross multiply
    414,557.64x = 621,829.48 × 186,726.52
  4. Step 4: Simplify right side
    414,557.64x = 116,112,054,833.81
  5. Step 5: Solve for x
    x = 116,112,054,833.81/414,557.64
  6. Step 6: Final answer
    x = 280,086.64

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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.