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Finding the Fourth Proportional to 333,832.24, 500,830.44 and 97,176.97

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Solution

The fourth proportional to 333,832.24, 500,830.44 and 97,176.97 is: 145,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,832.24 : 500,830.44 = 97,176.97 : x
  2. Step 2: Convert to fraction form
    333,832.24/500,830.44 = 97,176.97/x
  3. Step 3: Cross multiply
    333,832.24x = 500,830.44 × 97,176.97
  4. Step 4: Simplify right side
    333,832.24x = 48,669,184,642.97
  5. Step 5: Solve for x
    x = 48,669,184,642.97/333,832.24
  6. Step 6: Final answer
    x = 145,789.35

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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.