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Finding the Fourth Proportional to 329,265.25, 454,386.18 and 178,362.25

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Solution

The fourth proportional to 329,265.25, 454,386.18 and 178,362.25 is: 246,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,265.25 : 454,386.18 = 178,362.25 : x
  2. Step 2: Convert to fraction form
    329,265.25/454,386.18 = 178,362.25/x
  3. Step 3: Cross multiply
    329,265.25x = 454,386.18 × 178,362.25
  4. Step 4: Simplify right side
    329,265.25x = 81,045,341,433.71
  5. Step 5: Solve for x
    x = 81,045,341,433.71/329,265.25
  6. Step 6: Final answer
    x = 246,139.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.