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Finding the Fourth Proportional to 343,264.70, 514,897.05 and 156,640.70

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Solution

The fourth proportional to 343,264.70, 514,897.05 and 156,640.70 is: 234,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,264.70 : 514,897.05 = 156,640.70 : x
  2. Step 2: Convert to fraction form
    343,264.70/514,897.05 = 156,640.70/x
  3. Step 3: Cross multiply
    343,264.70x = 514,897.05 × 156,640.70
  4. Step 4: Simplify right side
    343,264.70x = 80,653,834,339.94
  5. Step 5: Solve for x
    x = 80,653,834,339.94/343,264.70
  6. Step 6: Final answer
    x = 234,961.05

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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.