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Finding the Fourth Proportional to 284,927.16, 427,391.32 and 195,911.40

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Solution

The fourth proportional to 284,927.16, 427,391.32 and 195,911.40 is: 293,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,927.16 : 427,391.32 = 195,911.40 : x
  2. Step 2: Convert to fraction form
    284,927.16/427,391.32 = 195,911.40/x
  3. Step 3: Cross multiply
    284,927.16x = 427,391.32 × 195,911.40
  4. Step 4: Simplify right side
    284,927.16x = 83,730,831,849.05
  5. Step 5: Solve for x
    x = 83,730,831,849.05/284,927.16
  6. Step 6: Final answer
    x = 293,867.50

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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.