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Finding the Fourth Proportional to 427,415.82, 590,335.76 and 341,671.76

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Solution

The fourth proportional to 427,415.82, 590,335.76 and 341,671.76 is: 471,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,415.82 : 590,335.76 = 341,671.76 : x
  2. Step 2: Convert to fraction form
    427,415.82/590,335.76 = 341,671.76/x
  3. Step 3: Cross multiply
    427,415.82x = 590,335.76 × 341,671.76
  4. Step 4: Simplify right side
    427,415.82x = 201,701,058,110.14
  5. Step 5: Solve for x
    x = 201,701,058,110.14/427,415.82
  6. Step 6: Final answer
    x = 471,908.27

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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.