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Finding the Fourth Proportional to 333,807.42, 500,656.84 and 109,164.44

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Solution

The fourth proportional to 333,807.42, 500,656.84 and 109,164.44 is: 163,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,807.42 : 500,656.84 = 109,164.44 : x
  2. Step 2: Convert to fraction form
    333,807.42/500,656.84 = 109,164.44/x
  3. Step 3: Cross multiply
    333,807.42x = 500,656.84 × 109,164.44
  4. Step 4: Simplify right side
    333,807.42x = 54,653,923,570.77
  5. Step 5: Solve for x
    x = 54,653,923,570.77/333,807.42
  6. Step 6: Final answer
    x = 163,728.91

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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.