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Finding the Fourth Proportional to 284,533.47, 392,839.24 and 182,602.87

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Solution

The fourth proportional to 284,533.47, 392,839.24 and 182,602.87 is: 252,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533.47 : 392,839.24 = 182,602.87 : x
  2. Step 2: Convert to fraction form
    284,533.47/392,839.24 = 182,602.87/x
  3. Step 3: Cross multiply
    284,533.47x = 392,839.24 × 182,602.87
  4. Step 4: Simplify right side
    284,533.47x = 71,733,572,672.62
  5. Step 5: Solve for x
    x = 71,733,572,672.62/284,533.47
  6. Step 6: Final answer
    x = 252,109.44

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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.