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Finding the Fourth Proportional to 432,097.66, 596,294.83 and 238,505.44

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Solution

The fourth proportional to 432,097.66, 596,294.83 and 238,505.44 is: 329,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.66 : 596,294.83 = 238,505.44 : x
  2. Step 2: Convert to fraction form
    432,097.66/596,294.83 = 238,505.44/x
  3. Step 3: Cross multiply
    432,097.66x = 596,294.83 × 238,505.44
  4. Step 4: Simplify right side
    432,097.66x = 142,219,560,305.10
  5. Step 5: Solve for x
    x = 142,219,560,305.10/432,097.66
  6. Step 6: Final answer
    x = 329,137.54

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1.5x scale

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.