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Finding the Fourth Proportional to 376,025, 518,914.50 and 206,259.52

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Solution

The fourth proportional to 376,025, 518,914.50 and 206,259.52 is: 284,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,025 : 518,914.50 = 206,259.52 : x
  2. Step 2: Convert to fraction form
    376,025/518,914.50 = 206,259.52/x
  3. Step 3: Cross multiply
    376,025x = 518,914.50 × 206,259.52
  4. Step 4: Simplify right side
    376,025x = 107,031,055,691.04
  5. Step 5: Solve for x
    x = 107,031,055,691.04/376,025
  6. Step 6: Final answer
    x = 284,638.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.