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Finding the Fourth Proportional to 317,924.32, 476,575.44 and 151,828.96

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Solution

The fourth proportional to 317,924.32, 476,575.44 and 151,828.96 is: 227,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,924.32 : 476,575.44 = 151,828.96 : x
  2. Step 2: Convert to fraction form
    317,924.32/476,575.44 = 151,828.96/x
  3. Step 3: Cross multiply
    317,924.32x = 476,575.44 × 151,828.96
  4. Step 4: Simplify right side
    317,924.32x = 72,357,953,416.74
  5. Step 5: Solve for x
    x = 72,357,953,416.74/317,924.32
  6. Step 6: Final answer
    x = 227,594.90

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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.