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Finding the Fourth Proportional to 306,714.30, 459,087.30 and 239,792.10

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Solution

The fourth proportional to 306,714.30, 459,087.30 and 239,792.10 is: 358,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714.30 : 459,087.30 = 239,792.10 : x
  2. Step 2: Convert to fraction form
    306,714.30/459,087.30 = 239,792.10/x
  3. Step 3: Cross multiply
    306,714.30x = 459,087.30 × 239,792.10
  4. Step 4: Simplify right side
    306,714.30x = 110,085,507,750.33
  5. Step 5: Solve for x
    x = 110,085,507,750.33/306,714.30
  6. Step 6: Final answer
    x = 358,918.73

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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.