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Finding the Fourth Proportional to 284,149.44, 392,114.40 and 156,823.20

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Solution

The fourth proportional to 284,149.44, 392,114.40 and 156,823.20 is: 216,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.44 : 392,114.40 = 156,823.20 : x
  2. Step 2: Convert to fraction form
    284,149.44/392,114.40 = 156,823.20/x
  3. Step 3: Cross multiply
    284,149.44x = 392,114.40 × 156,823.20
  4. Step 4: Simplify right side
    284,149.44x = 61,492,634,974.08
  5. Step 5: Solve for x
    x = 61,492,634,974.08/284,149.44
  6. Step 6: Final answer
    x = 216,409.49

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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.