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Finding the Fourth Proportional to 462,820.52, 694,335 and 163,322.48

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Solution

The fourth proportional to 462,820.52, 694,335 and 163,322.48 is: 245,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,820.52 : 694,335 = 163,322.48 : x
  2. Step 2: Convert to fraction form
    462,820.52/694,335 = 163,322.48/x
  3. Step 3: Cross multiply
    462,820.52x = 694,335 × 163,322.48
  4. Step 4: Simplify right side
    462,820.52x = 113,400,514,150.80
  5. Step 5: Solve for x
    x = 113,400,514,150.80/462,820.52
  6. Step 6: Final answer
    x = 245,020.50

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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.