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Finding the Fourth Proportional to 283,044.64, 424,100.40 and 164,382.88

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Solution

The fourth proportional to 283,044.64, 424,100.40 and 164,382.88 is: 246,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,044.64 : 424,100.40 = 164,382.88 : x
  2. Step 2: Convert to fraction form
    283,044.64/424,100.40 = 164,382.88/x
  3. Step 3: Cross multiply
    283,044.64x = 424,100.40 × 164,382.88
  4. Step 4: Simplify right side
    283,044.64x = 69,714,845,161.15
  5. Step 5: Solve for x
    x = 69,714,845,161.15/283,044.64
  6. Step 6: Final answer
    x = 246,303.36

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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.