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Finding the Fourth Proportional to 294,598.96, 441,926.99 and 117,066.20

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Solution

The fourth proportional to 294,598.96, 441,926.99 and 117,066.20 is: 175,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,598.96 : 441,926.99 = 117,066.20 : x
  2. Step 2: Convert to fraction form
    294,598.96/441,926.99 = 117,066.20/x
  3. Step 3: Cross multiply
    294,598.96x = 441,926.99 × 117,066.20
  4. Step 4: Simplify right side
    294,598.96x = 51,734,711,040.77
  5. Step 5: Solve for x
    x = 51,734,711,040.77/294,598.96
  6. Step 6: Final answer
    x = 175,610.64

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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.