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Finding the Fourth Proportional to 492,216.96, 738,496.68 and 155,309.64

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Solution

The fourth proportional to 492,216.96, 738,496.68 and 155,309.64 is: 233,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,216.96 : 738,496.68 = 155,309.64 : x
  2. Step 2: Convert to fraction form
    492,216.96/738,496.68 = 155,309.64/x
  3. Step 3: Cross multiply
    492,216.96x = 738,496.68 × 155,309.64
  4. Step 4: Simplify right side
    492,216.96x = 114,695,653,512.00
  5. Step 5: Solve for x
    x = 114,695,653,512.00/492,216.96
  6. Step 6: Final answer
    x = 233,018.49

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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.