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Finding the Fourth Proportional to 369,563.32, 509,814.02 and 238,695.98

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Solution

The fourth proportional to 369,563.32, 509,814.02 and 238,695.98 is: 329,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,563.32 : 509,814.02 = 238,695.98 : x
  2. Step 2: Convert to fraction form
    369,563.32/509,814.02 = 238,695.98/x
  3. Step 3: Cross multiply
    369,563.32x = 509,814.02 × 238,695.98
  4. Step 4: Simplify right side
    369,563.32x = 121,690,557,121.64
  5. Step 5: Solve for x
    x = 121,690,557,121.64/369,563.32
  6. Step 6: Final answer
    x = 329,282.02

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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.