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Finding the Fourth Proportional to 345,488.68, 518,233.02 and 197,641

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Solution

The fourth proportional to 345,488.68, 518,233.02 and 197,641 is: 296,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,488.68 : 518,233.02 = 197,641 : x
  2. Step 2: Convert to fraction form
    345,488.68/518,233.02 = 197,641/x
  3. Step 3: Cross multiply
    345,488.68x = 518,233.02 × 197,641
  4. Step 4: Simplify right side
    345,488.68x = 102,424,092,305.82
  5. Step 5: Solve for x
    x = 102,424,092,305.82/345,488.68
  6. Step 6: Final answer
    x = 296,461.50

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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.