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Finding the Fourth Proportional to 510,684, 766,025.44 and 229,873.12

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Solution

The fourth proportional to 510,684, 766,025.44 and 229,873.12 is: 344,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,684 : 766,025.44 = 229,873.12 : x
  2. Step 2: Convert to fraction form
    510,684/766,025.44 = 229,873.12/x
  3. Step 3: Cross multiply
    510,684x = 766,025.44 × 229,873.12
  4. Step 4: Simplify right side
    510,684x = 176,088,657,892.17
  5. Step 5: Solve for x
    x = 176,088,657,892.17/510,684
  6. Step 6: Final answer
    x = 344,809.43

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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.