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Finding the Fourth Proportional to 322,611.80, 483,918.49 and 97,973.94

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Solution

The fourth proportional to 322,611.80, 483,918.49 and 97,973.94 is: 146,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,611.80 : 483,918.49 = 97,973.94 : x
  2. Step 2: Convert to fraction form
    322,611.80/483,918.49 = 97,973.94/x
  3. Step 3: Cross multiply
    322,611.80x = 483,918.49 × 97,973.94
  4. Step 4: Simplify right side
    322,611.80x = 47,411,402,490.21
  5. Step 5: Solve for x
    x = 47,411,402,490.21/322,611.80
  6. Step 6: Final answer
    x = 146,961.15

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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.