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Finding the Fourth Proportional to 653,910.08, 980,858.82 and 387,478.82

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Solution

The fourth proportional to 653,910.08, 980,858.82 and 387,478.82 is: 581,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,910.08 : 980,858.82 = 387,478.82 : x
  2. Step 2: Convert to fraction form
    653,910.08/980,858.82 = 387,478.82/x
  3. Step 3: Cross multiply
    653,910.08x = 980,858.82 × 387,478.82
  4. Step 4: Simplify right side
    653,910.08x = 380,062,018,160.19
  5. Step 5: Solve for x
    x = 380,062,018,160.19/653,910.08
  6. Step 6: Final answer
    x = 581,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.