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Finding the Fourth Proportional to 361,274.52, 541,929.06 and 174,443.16

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Solution

The fourth proportional to 361,274.52, 541,929.06 and 174,443.16 is: 261,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,274.52 : 541,929.06 = 174,443.16 : x
  2. Step 2: Convert to fraction form
    361,274.52/541,929.06 = 174,443.16/x
  3. Step 3: Cross multiply
    361,274.52x = 541,929.06 × 174,443.16
  4. Step 4: Simplify right side
    361,274.52x = 94,535,817,722.23
  5. Step 5: Solve for x
    x = 94,535,817,722.23/361,274.52
  6. Step 6: Final answer
    x = 261,673.08

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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.