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Finding the Fourth Proportional to 474,580.51, 711,724.07 and 137,645.96

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Solution

The fourth proportional to 474,580.51, 711,724.07 and 137,645.96 is: 206,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,580.51 : 711,724.07 = 137,645.96 : x
  2. Step 2: Convert to fraction form
    474,580.51/711,724.07 = 137,645.96/x
  3. Step 3: Cross multiply
    474,580.51x = 711,724.07 × 137,645.96
  4. Step 4: Simplify right side
    474,580.51x = 97,965,939,655.75
  5. Step 5: Solve for x
    x = 97,965,939,655.75/474,580.51
  6. Step 6: Final answer
    x = 206,426.39

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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.