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Finding the Fourth Proportional to 284,434.68, 392,512.34 and 157,107.54

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Solution

The fourth proportional to 284,434.68, 392,512.34 and 157,107.54 is: 216,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,434.68 : 392,512.34 = 157,107.54 : x
  2. Step 2: Convert to fraction form
    284,434.68/392,512.34 = 157,107.54/x
  3. Step 3: Cross multiply
    284,434.68x = 392,512.34 × 157,107.54
  4. Step 4: Simplify right side
    284,434.68x = 61,666,648,157.04
  5. Step 5: Solve for x
    x = 61,666,648,157.04/284,434.68
  6. Step 6: Final answer
    x = 216,804.25

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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.