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Finding the Fourth Proportional to 284,406.62, 392,447.54 and 157,074.62

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Solution

The fourth proportional to 284,406.62, 392,447.54 and 157,074.62 is: 216,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406.62 : 392,447.54 = 157,074.62 : x
  2. Step 2: Convert to fraction form
    284,406.62/392,447.54 = 157,074.62/x
  3. Step 3: Cross multiply
    284,406.62x = 392,447.54 × 157,074.62
  4. Step 4: Simplify right side
    284,406.62x = 61,643,548,215.43
  5. Step 5: Solve for x
    x = 61,643,548,215.43/284,406.62
  6. Step 6: Final answer
    x = 216,744.42

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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.