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Finding the Fourth Proportional to 324,850.94, 487,345.95 and 97,164.42

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Solution

The fourth proportional to 324,850.94, 487,345.95 and 97,164.42 is: 145,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,850.94 : 487,345.95 = 97,164.42 : x
  2. Step 2: Convert to fraction form
    324,850.94/487,345.95 = 97,164.42/x
  3. Step 3: Cross multiply
    324,850.94x = 487,345.95 × 97,164.42
  4. Step 4: Simplify right side
    324,850.94x = 47,352,688,580.12
  5. Step 5: Solve for x
    x = 47,352,688,580.12/324,850.94
  6. Step 6: Final answer
    x = 145,767.43

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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.