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Finding the Fourth Proportional to 343,377.40, 514,920.30 and 165,938.80

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Solution

The fourth proportional to 343,377.40, 514,920.30 and 165,938.80 is: 248,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,377.40 : 514,920.30 = 165,938.80 : x
  2. Step 2: Convert to fraction form
    343,377.40/514,920.30 = 165,938.80/x
  3. Step 3: Cross multiply
    343,377.40x = 514,920.30 × 165,938.80
  4. Step 4: Simplify right side
    343,377.40x = 85,445,256,677.64
  5. Step 5: Solve for x
    x = 85,445,256,677.64/343,377.40
  6. Step 6: Final answer
    x = 248,837.74

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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.