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Finding the Fourth Proportional to 462,940.30, 694,465.92 and 163,359

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Solution

The fourth proportional to 462,940.30, 694,465.92 and 163,359 is: 245,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,940.30 : 694,465.92 = 163,359 : x
  2. Step 2: Convert to fraction form
    462,940.30/694,465.92 = 163,359/x
  3. Step 3: Cross multiply
    462,940.30x = 694,465.92 × 163,359
  4. Step 4: Simplify right side
    462,940.30x = 113,447,258,225.28
  5. Step 5: Solve for x
    x = 113,447,258,225.28/462,940.30
  6. Step 6: Final answer
    x = 245,058.07

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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.