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Finding the Fourth Proportional to 341,714.10, 512,571.15 and 164,567.10

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Solution

The fourth proportional to 341,714.10, 512,571.15 and 164,567.10 is: 246,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,714.10 : 512,571.15 = 164,567.10 : x
  2. Step 2: Convert to fraction form
    341,714.10/512,571.15 = 164,567.10/x
  3. Step 3: Cross multiply
    341,714.10x = 512,571.15 × 164,567.10
  4. Step 4: Simplify right side
    341,714.10x = 84,352,347,699.17
  5. Step 5: Solve for x
    x = 84,352,347,699.17/341,714.10
  6. Step 6: Final answer
    x = 246,850.65

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1.5x scale

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.