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Finding the Fourth Proportional to 329,582, 454,823.16 and 178,679

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Solution

The fourth proportional to 329,582, 454,823.16 and 178,679 is: 246,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,582 : 454,823.16 = 178,679 : x
  2. Step 2: Convert to fraction form
    329,582/454,823.16 = 178,679/x
  3. Step 3: Cross multiply
    329,582x = 454,823.16 × 178,679
  4. Step 4: Simplify right side
    329,582x = 81,267,347,405.64
  5. Step 5: Solve for x
    x = 81,267,347,405.64/329,582
  6. Step 6: Final answer
    x = 246,577.02

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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.