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Finding the Fourth Proportional to 322,538.95, 483,863.10 and 97,897.60

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Solution

The fourth proportional to 322,538.95, 483,863.10 and 97,897.60 is: 146,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,538.95 : 483,863.10 = 97,897.60 : x
  2. Step 2: Convert to fraction form
    322,538.95/483,863.10 = 97,897.60/x
  3. Step 3: Cross multiply
    322,538.95x = 483,863.10 × 97,897.60
  4. Step 4: Simplify right side
    322,538.95x = 47,369,036,218.56
  5. Step 5: Solve for x
    x = 47,369,036,218.56/322,538.95
  6. Step 6: Final answer
    x = 146,863.00

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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.