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Finding the Fourth Proportional to 463,157.80, 695,531.78 and 284,293.56

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Solution

The fourth proportional to 463,157.80, 695,531.78 and 284,293.56 is: 426,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,157.80 : 695,531.78 = 284,293.56 : x
  2. Step 2: Convert to fraction form
    463,157.80/695,531.78 = 284,293.56/x
  3. Step 3: Cross multiply
    463,157.80x = 695,531.78 × 284,293.56
  4. Step 4: Simplify right side
    463,157.80x = 197,735,208,082.21
  5. Step 5: Solve for x
    x = 197,735,208,082.21/463,157.80
  6. Step 6: Final answer
    x = 426,928.38

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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.