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Finding the Fourth Proportional to 433,283.82, 597,920.47 and 239,686.49

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Solution

The fourth proportional to 433,283.82, 597,920.47 and 239,686.49 is: 330,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,283.82 : 597,920.47 = 239,686.49 : x
  2. Step 2: Convert to fraction form
    433,283.82/597,920.47 = 239,686.49/x
  3. Step 3: Cross multiply
    433,283.82x = 597,920.47 × 239,686.49
  4. Step 4: Simplify right side
    433,283.82x = 143,313,459,649.04
  5. Step 5: Solve for x
    x = 143,313,459,649.04/433,283.82
  6. Step 6: Final answer
    x = 330,761.16

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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.