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Finding the Fourth Proportional to 295,774.72, 408,280.32 and 200,773.12

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Solution

The fourth proportional to 295,774.72, 408,280.32 and 200,773.12 is: 277,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,774.72 : 408,280.32 = 200,773.12 : x
  2. Step 2: Convert to fraction form
    295,774.72/408,280.32 = 200,773.12/x
  3. Step 3: Cross multiply
    295,774.72x = 408,280.32 × 200,773.12
  4. Step 4: Simplify right side
    295,774.72x = 81,971,713,681.00
  5. Step 5: Solve for x
    x = 81,971,713,681.00/295,774.72
  6. Step 6: Final answer
    x = 277,142.39

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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.