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Finding the Fourth Proportional to 366,968.99, 506,419 and 205,832.65

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Solution

The fourth proportional to 366,968.99, 506,419 and 205,832.65 is: 284,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,968.99 : 506,419 = 205,832.65 : x
  2. Step 2: Convert to fraction form
    366,968.99/506,419 = 205,832.65/x
  3. Step 3: Cross multiply
    366,968.99x = 506,419 × 205,832.65
  4. Step 4: Simplify right side
    366,968.99x = 104,237,564,780.35
  5. Step 5: Solve for x
    x = 104,237,564,780.35/366,968.99
  6. Step 6: Final answer
    x = 284,050.06

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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.