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Finding the Fourth Proportional to 348,052.30, 521,689.65 and 198,364.30

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Solution

The fourth proportional to 348,052.30, 521,689.65 and 198,364.30 is: 297,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,052.30 : 521,689.65 = 198,364.30 : x
  2. Step 2: Convert to fraction form
    348,052.30/521,689.65 = 198,364.30/x
  3. Step 3: Cross multiply
    348,052.30x = 521,689.65 × 198,364.30
  4. Step 4: Simplify right side
    348,052.30x = 103,484,602,239.50
  5. Step 5: Solve for x
    x = 103,484,602,239.50/348,052.30
  6. Step 6: Final answer
    x = 297,324.86

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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.