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Finding the Fourth Proportional to 322,281.86, 483,472.95 and 97,588.81

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Solution

The fourth proportional to 322,281.86, 483,472.95 and 97,588.81 is: 146,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,281.86 : 483,472.95 = 97,588.81 : x
  2. Step 2: Convert to fraction form
    322,281.86/483,472.95 = 97,588.81/x
  3. Step 3: Cross multiply
    322,281.86x = 483,472.95 × 97,588.81
  4. Step 4: Simplify right side
    322,281.86x = 47,181,546,952.38
  5. Step 5: Solve for x
    x = 47,181,546,952.38/322,281.86
  6. Step 6: Final answer
    x = 146,398.39

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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.