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Finding the Fourth Proportional to 348,117.30, 521,787.15 and 198,429.30

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Solution

The fourth proportional to 348,117.30, 521,787.15 and 198,429.30 is: 297,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,117.30 : 521,787.15 = 198,429.30 : x
  2. Step 2: Convert to fraction form
    348,117.30/521,787.15 = 198,429.30/x
  3. Step 3: Cross multiply
    348,117.30x = 521,787.15 × 198,429.30
  4. Step 4: Simplify right side
    348,117.30x = 103,537,858,923.50
  5. Step 5: Solve for x
    x = 103,537,858,923.50/348,117.30
  6. Step 6: Final answer
    x = 297,422.33

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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.