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Finding the Fourth Proportional to 432,398.76, 596,671.02 and 241,377

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Solution

The fourth proportional to 432,398.76, 596,671.02 and 241,377 is: 333,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,398.76 : 596,671.02 = 241,377 : x
  2. Step 2: Convert to fraction form
    432,398.76/596,671.02 = 241,377/x
  3. Step 3: Cross multiply
    432,398.76x = 596,671.02 × 241,377
  4. Step 4: Simplify right side
    432,398.76x = 144,022,660,794.54
  5. Step 5: Solve for x
    x = 144,022,660,794.54/432,398.76
  6. Step 6: Final answer
    x = 333,078.34

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