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Finding the Fourth Proportional to 322,594.86, 483,861.00 and 97,957.24

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Solution

The fourth proportional to 322,594.86, 483,861.00 and 97,957.24 is: 146,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,594.86 : 483,861.00 = 97,957.24 : x
  2. Step 2: Convert to fraction form
    322,594.86/483,861.00 = 97,957.24/x
  3. Step 3: Cross multiply
    322,594.86x = 483,861.00 × 97,957.24
  4. Step 4: Simplify right side
    322,594.86x = 47,397,685,984.88
  5. Step 5: Solve for x
    x = 47,397,685,984.88/322,594.86
  6. Step 6: Final answer
    x = 146,926.35

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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.