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Finding the Fourth Proportional to 343,333.80, 513,834.30 and 301,343.40

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Solution

The fourth proportional to 343,333.80, 513,834.30 and 301,343.40 is: 450,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,333.80 : 513,834.30 = 301,343.40 : x
  2. Step 2: Convert to fraction form
    343,333.80/513,834.30 = 301,343.40/x
  3. Step 3: Cross multiply
    343,333.80x = 513,834.30 × 301,343.40
  4. Step 4: Simplify right side
    343,333.80x = 154,840,574,998.62
  5. Step 5: Solve for x
    x = 154,840,574,998.62/343,333.80
  6. Step 6: Final answer
    x = 450,991.35

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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.