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Finding the Fourth Proportional to 559,219.28, 771,731.32 and 304,570.24

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Solution

The fourth proportional to 559,219.28, 771,731.32 and 304,570.24 is: 420,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,219.28 : 771,731.32 = 304,570.24 : x
  2. Step 2: Convert to fraction form
    559,219.28/771,731.32 = 304,570.24/x
  3. Step 3: Cross multiply
    559,219.28x = 771,731.32 × 304,570.24
  4. Step 4: Simplify right side
    559,219.28x = 235,046,393,347.92
  5. Step 5: Solve for x
    x = 235,046,393,347.92/559,219.28
  6. Step 6: Final answer
    x = 420,311.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.