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Finding the Fourth Proportional to 409,912.08, 614,886.96 and 125,582.24

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Solution

The fourth proportional to 409,912.08, 614,886.96 and 125,582.24 is: 188,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,912.08 : 614,886.96 = 125,582.24 : x
  2. Step 2: Convert to fraction form
    409,912.08/614,886.96 = 125,582.24/x
  3. Step 3: Cross multiply
    409,912.08x = 614,886.96 × 125,582.24
  4. Step 4: Simplify right side
    409,912.08x = 77,218,881,783.59
  5. Step 5: Solve for x
    x = 77,218,881,783.59/409,912.08
  6. Step 6: Final answer
    x = 188,379.13

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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.