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Finding the Fourth Proportional to 284,492.24, 392,598.48 and 163,656.80

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Solution

The fourth proportional to 284,492.24, 392,598.48 and 163,656.80 is: 225,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.24 : 392,598.48 = 163,656.80 : x
  2. Step 2: Convert to fraction form
    284,492.24/392,598.48 = 163,656.80/x
  3. Step 3: Cross multiply
    284,492.24x = 392,598.48 × 163,656.80
  4. Step 4: Simplify right side
    284,492.24x = 64,251,410,921.66
  5. Step 5: Solve for x
    x = 64,251,410,921.66/284,492.24
  6. Step 6: Final answer
    x = 225,845.92

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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.