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Finding the Fourth Proportional to 284,232.44, 392,242.02 and 156,909.08

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Solution

The fourth proportional to 284,232.44, 392,242.02 and 156,909.08 is: 216,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,232.44 : 392,242.02 = 156,909.08 : x
  2. Step 2: Convert to fraction form
    284,232.44/392,242.02 = 156,909.08/x
  3. Step 3: Cross multiply
    284,232.44x = 392,242.02 × 156,909.08
  4. Step 4: Simplify right side
    284,232.44x = 61,546,334,495.54
  5. Step 5: Solve for x
    x = 61,546,334,495.54/284,232.44
  6. Step 6: Final answer
    x = 216,535.22

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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.