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Finding the Fourth Proportional to 343,274.20, 514,911.30 and 312,861.40

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Solution

The fourth proportional to 343,274.20, 514,911.30 and 312,861.40 is: 469,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274.20 : 514,911.30 = 312,861.40 : x
  2. Step 2: Convert to fraction form
    343,274.20/514,911.30 = 312,861.40/x
  3. Step 3: Cross multiply
    343,274.20x = 514,911.30 × 312,861.40
  4. Step 4: Simplify right side
    343,274.20x = 161,095,870,193.82
  5. Step 5: Solve for x
    x = 161,095,870,193.82/343,274.20
  6. Step 6: Final answer
    x = 469,292.10

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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.