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Finding the Fourth Proportional to 433,248.54, 598,033.53 and 297,731.22

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Solution

The fourth proportional to 433,248.54, 598,033.53 and 297,731.22 is: 410,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,248.54 : 598,033.53 = 297,731.22 : x
  2. Step 2: Convert to fraction form
    433,248.54/598,033.53 = 297,731.22/x
  3. Step 3: Cross multiply
    433,248.54x = 598,033.53 × 297,731.22
  4. Step 4: Simplify right side
    433,248.54x = 178,053,252,487.81
  5. Step 5: Solve for x
    x = 178,053,252,487.81/433,248.54
  6. Step 6: Final answer
    x = 410,972.54

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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.