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Finding the Fourth Proportional to 417,963.68, 576,804.15 and 234,210

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Solution

The fourth proportional to 417,963.68, 576,804.15 and 234,210 is: 323,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,963.68 : 576,804.15 = 234,210 : x
  2. Step 2: Convert to fraction form
    417,963.68/576,804.15 = 234,210/x
  3. Step 3: Cross multiply
    417,963.68x = 576,804.15 × 234,210
  4. Step 4: Simplify right side
    417,963.68x = 135,093,299,971.50
  5. Step 5: Solve for x
    x = 135,093,299,971.50/417,963.68
  6. Step 6: Final answer
    x = 323,217.80

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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.