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Finding the Fourth Proportional to 343,362.30, 514,006.65 and 301,890.30

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Solution

The fourth proportional to 343,362.30, 514,006.65 and 301,890.30 is: 451,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,362.30 : 514,006.65 = 301,890.30 : x
  2. Step 2: Convert to fraction form
    343,362.30/514,006.65 = 301,890.30/x
  3. Step 3: Cross multiply
    343,362.30x = 514,006.65 × 301,890.30
  4. Step 4: Simplify right side
    343,362.30x = 155,173,621,770.50
  5. Step 5: Solve for x
    x = 155,173,621,770.50/343,362.30
  6. Step 6: Final answer
    x = 451,923.88

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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.