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Finding the Fourth Proportional to 468,871.41, 647,038.96 and 254,009.93

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Solution

The fourth proportional to 468,871.41, 647,038.96 and 254,009.93 is: 350,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,871.41 : 647,038.96 = 254,009.93 : x
  2. Step 2: Convert to fraction form
    468,871.41/647,038.96 = 254,009.93/x
  3. Step 3: Cross multiply
    468,871.41x = 647,038.96 × 254,009.93
  4. Step 4: Simplify right side
    468,871.41x = 164,354,321,919.45
  5. Step 5: Solve for x
    x = 164,354,321,919.45/468,871.41
  6. Step 6: Final answer
    x = 350,531.76

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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.