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Finding the Fourth Proportional to 306,388.12, 459,594.54 and 106,728.70

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Solution

The fourth proportional to 306,388.12, 459,594.54 and 106,728.70 is: 160,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,388.12 : 459,594.54 = 106,728.70 : x
  2. Step 2: Convert to fraction form
    306,388.12/459,594.54 = 106,728.70/x
  3. Step 3: Cross multiply
    306,388.12x = 459,594.54 × 106,728.70
  4. Step 4: Simplify right side
    306,388.12x = 49,051,927,781.30
  5. Step 5: Solve for x
    x = 49,051,927,781.30/306,388.12
  6. Step 6: Final answer
    x = 160,097.36

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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.