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Finding the Fourth Proportional to 329,322.48, 454,465.47 and 178,419.48

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Solution

The fourth proportional to 329,322.48, 454,465.47 and 178,419.48 is: 246,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,322.48 : 454,465.47 = 178,419.48 : x
  2. Step 2: Convert to fraction form
    329,322.48/454,465.47 = 178,419.48/x
  3. Step 3: Cross multiply
    329,322.48x = 454,465.47 × 178,419.48
  4. Step 4: Simplify right side
    329,322.48x = 81,085,492,835.36
  5. Step 5: Solve for x
    x = 81,085,492,835.36/329,322.48
  6. Step 6: Final answer
    x = 246,219.12

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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.