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Finding the Fourth Proportional to 322,547.40, 483,821.91 and 97,909.56

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Solution

The fourth proportional to 322,547.40, 483,821.91 and 97,909.56 is: 146,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,547.40 : 483,821.91 = 97,909.56 : x
  2. Step 2: Convert to fraction form
    322,547.40/483,821.91 = 97,909.56/x
  3. Step 3: Cross multiply
    322,547.40x = 483,821.91 × 97,909.56
  4. Step 4: Simplify right side
    322,547.40x = 47,370,790,326.46
  5. Step 5: Solve for x
    x = 47,370,790,326.46/322,547.40
  6. Step 6: Final answer
    x = 146,864.59

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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.