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Finding the Fourth Proportional to 506,992.10, 760,728.72 and 254,295.20

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Solution

The fourth proportional to 506,992.10, 760,728.72 and 254,295.20 is: 381,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,992.10 : 760,728.72 = 254,295.20 : x
  2. Step 2: Convert to fraction form
    506,992.10/760,728.72 = 254,295.20/x
  3. Step 3: Cross multiply
    506,992.10x = 760,728.72 × 254,295.20
  4. Step 4: Simplify right side
    506,992.10x = 193,449,661,998.14
  5. Step 5: Solve for x
    x = 193,449,661,998.14/506,992.10
  6. Step 6: Final answer
    x = 381,563.46

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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.