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Finding the Fourth Proportional to 469,542.30, 647,968.59 and 254,681.58

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Solution

The fourth proportional to 469,542.30, 647,968.59 and 254,681.58 is: 351,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,542.30 : 647,968.59 = 254,681.58 : x
  2. Step 2: Convert to fraction form
    469,542.30/647,968.59 = 254,681.58/x
  3. Step 3: Cross multiply
    469,542.30x = 647,968.59 × 254,681.58
  4. Step 4: Simplify right side
    469,542.30x = 165,025,664,291.57
  5. Step 5: Solve for x
    x = 165,025,664,291.57/469,542.30
  6. Step 6: Final answer
    x = 351,460.70

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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.