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Finding the Fourth Proportional to 341,809.40, 512,714.10 and 341,809.40

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Solution

The fourth proportional to 341,809.40, 512,714.10 and 341,809.40 is: 512,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,809.40 : 512,714.10 = 341,809.40 : x
  2. Step 2: Convert to fraction form
    341,809.40/512,714.10 = 341,809.40/x
  3. Step 3: Cross multiply
    341,809.40x = 512,714.10 × 341,809.40
  4. Step 4: Simplify right side
    341,809.40x = 175,250,498,892.54
  5. Step 5: Solve for x
    x = 175,250,498,892.54/341,809.40
  6. Step 6: Final answer
    x = 512,714.10

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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.