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Finding the Fourth Proportional to 432,495.50, 596,841.42 and 238,916.54

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Solution

The fourth proportional to 432,495.50, 596,841.42 and 238,916.54 is: 329,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,495.50 : 596,841.42 = 238,916.54 : x
  2. Step 2: Convert to fraction form
    432,495.50/596,841.42 = 238,916.54/x
  3. Step 3: Cross multiply
    432,495.50x = 596,841.42 × 238,916.54
  4. Step 4: Simplify right side
    432,495.50x = 142,595,286,995.09
  5. Step 5: Solve for x
    x = 142,595,286,995.09/432,495.50
  6. Step 6: Final answer
    x = 329,703.52

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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.