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Finding the Fourth Proportional to 343,267.70, 514,901.55 and 156,643.70

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Solution

The fourth proportional to 343,267.70, 514,901.55 and 156,643.70 is: 234,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,267.70 : 514,901.55 = 156,643.70 : x
  2. Step 2: Convert to fraction form
    343,267.70/514,901.55 = 156,643.70/x
  3. Step 3: Cross multiply
    343,267.70x = 514,901.55 × 156,643.70
  4. Step 4: Simplify right side
    343,267.70x = 80,656,083,927.74
  5. Step 5: Solve for x
    x = 80,656,083,927.74/343,267.70
  6. Step 6: Final answer
    x = 234,965.55

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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.