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Finding the Fourth Proportional to 284,656.28, 392,811.54 and 157,328.60

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Solution

The fourth proportional to 284,656.28, 392,811.54 and 157,328.60 is: 217,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656.28 : 392,811.54 = 157,328.60 : x
  2. Step 2: Convert to fraction form
    284,656.28/392,811.54 = 157,328.60/x
  3. Step 3: Cross multiply
    284,656.28x = 392,811.54 × 157,328.60
  4. Step 4: Simplify right side
    284,656.28x = 61,800,489,652.04
  5. Step 5: Solve for x
    x = 61,800,489,652.04/284,656.28
  6. Step 6: Final answer
    x = 217,105.66

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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.