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Finding the Fourth Proportional to 284,889.63, 393,123.20 and 157,533.33

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Solution

The fourth proportional to 284,889.63, 393,123.20 and 157,533.33 is: 217,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,889.63 : 393,123.20 = 157,533.33 : x
  2. Step 2: Convert to fraction form
    284,889.63/393,123.20 = 157,533.33/x
  3. Step 3: Cross multiply
    284,889.63x = 393,123.20 × 157,533.33
  4. Step 4: Simplify right side
    284,889.63x = 61,930,006,008.59
  5. Step 5: Solve for x
    x = 61,930,006,008.59/284,889.63
  6. Step 6: Final answer
    x = 217,382.45

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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.