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Finding the Fourth Proportional to 337,891.16, 508,051.92 and 311,559.01

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Solution

The fourth proportional to 337,891.16, 508,051.92 and 311,559.01 is: 468,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,891.16 : 508,051.92 = 311,559.01 : x
  2. Step 2: Convert to fraction form
    337,891.16/508,051.92 = 311,559.01/x
  3. Step 3: Cross multiply
    337,891.16x = 508,051.92 × 311,559.01
  4. Step 4: Simplify right side
    337,891.16x = 158,288,153,223.80
  5. Step 5: Solve for x
    x = 158,288,153,223.80/337,891.16
  6. Step 6: Final answer
    x = 468,458.99

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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.