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Finding the Fourth Proportional to 464,274.18, 696,511.54 and 144,419.97

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Solution

The fourth proportional to 464,274.18, 696,511.54 and 144,419.97 is: 216,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,274.18 : 696,511.54 = 144,419.97 : x
  2. Step 2: Convert to fraction form
    464,274.18/696,511.54 = 144,419.97/x
  3. Step 3: Cross multiply
    464,274.18x = 696,511.54 × 144,419.97
  4. Step 4: Simplify right side
    464,274.18x = 100,590,175,711.45
  5. Step 5: Solve for x
    x = 100,590,175,711.45/464,274.18
  6. Step 6: Final answer
    x = 216,661.15

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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.