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Finding the Fourth Proportional to 322,513.12, 483,770.80 and 97,875.36

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Solution

The fourth proportional to 322,513.12, 483,770.80 and 97,875.36 is: 146,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,513.12 : 483,770.80 = 97,875.36 : x
  2. Step 2: Convert to fraction form
    322,513.12/483,770.80 = 97,875.36/x
  3. Step 3: Cross multiply
    322,513.12x = 483,770.80 × 97,875.36
  4. Step 4: Simplify right side
    322,513.12x = 47,349,241,207.49
  5. Step 5: Solve for x
    x = 47,349,241,207.49/322,513.12
  6. Step 6: Final answer
    x = 146,813.38

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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.