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Finding the Fourth Proportional to 336,233, 464,001.54 and 185,333.24

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Solution

The fourth proportional to 336,233, 464,001.54 and 185,333.24 is: 255,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,233 : 464,001.54 = 185,333.24 : x
  2. Step 2: Convert to fraction form
    336,233/464,001.54 = 185,333.24/x
  3. Step 3: Cross multiply
    336,233x = 464,001.54 × 185,333.24
  4. Step 4: Simplify right side
    336,233x = 85,994,908,773.19
  5. Step 5: Solve for x
    x = 85,994,908,773.19/336,233
  6. Step 6: Final answer
    x = 255,759.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.