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Finding the Fourth Proportional to 442,814.32, 611,097.24 and 251,855.20

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Solution

The fourth proportional to 442,814.32, 611,097.24 and 251,855.20 is: 347,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,814.32 : 611,097.24 = 251,855.20 : x
  2. Step 2: Convert to fraction form
    442,814.32/611,097.24 = 251,855.20/x
  3. Step 3: Cross multiply
    442,814.32x = 611,097.24 × 251,855.20
  4. Step 4: Simplify right side
    442,814.32x = 153,908,017,599.65
  5. Step 5: Solve for x
    x = 153,908,017,599.65/442,814.32
  6. Step 6: Final answer
    x = 347,567.84

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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.