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Finding the Fourth Proportional to 468,977.04, 647,411.48 and 314,194.88

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Solution

The fourth proportional to 468,977.04, 647,411.48 and 314,194.88 is: 433,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,977.04 : 647,411.48 = 314,194.88 : x
  2. Step 2: Convert to fraction form
    468,977.04/647,411.48 = 314,194.88/x
  3. Step 3: Cross multiply
    468,977.04x = 647,411.48 × 314,194.88
  4. Step 4: Simplify right side
    468,977.04x = 203,413,372,269.22
  5. Step 5: Solve for x
    x = 203,413,372,269.22/468,977.04
  6. Step 6: Final answer
    x = 433,738.45

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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.