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Finding the Fourth Proportional to 462,937.29, 694,461.42 and 163,356

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Solution

The fourth proportional to 462,937.29, 694,461.42 and 163,356 is: 245,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,937.29 : 694,461.42 = 163,356 : x
  2. Step 2: Convert to fraction form
    462,937.29/694,461.42 = 163,356/x
  3. Step 3: Cross multiply
    462,937.29x = 694,461.42 × 163,356
  4. Step 4: Simplify right side
    462,937.29x = 113,444,439,725.52
  5. Step 5: Solve for x
    x = 113,444,439,725.52/462,937.29
  6. Step 6: Final answer
    x = 245,053.58

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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.