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Finding the Fourth Proportional to 494,964.76, 742,567.86 and 158,005.46

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Solution

The fourth proportional to 494,964.76, 742,567.86 and 158,005.46 is: 237,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,964.76 : 742,567.86 = 158,005.46 : x
  2. Step 2: Convert to fraction form
    494,964.76/742,567.86 = 158,005.46/x
  3. Step 3: Cross multiply
    494,964.76x = 742,567.86 × 158,005.46
  4. Step 4: Simplify right side
    494,964.76x = 117,329,776,300.52
  5. Step 5: Solve for x
    x = 117,329,776,300.52/494,964.76
  6. Step 6: Final answer
    x = 237,046.73

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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.