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Finding the Fourth Proportional to 285,154.54, 393,507.39 and 157,822.54

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Solution

The fourth proportional to 285,154.54, 393,507.39 and 157,822.54 is: 217,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154.54 : 393,507.39 = 157,822.54 : x
  2. Step 2: Convert to fraction form
    285,154.54/393,507.39 = 157,822.54/x
  3. Step 3: Cross multiply
    285,154.54x = 393,507.39 × 157,822.54
  4. Step 4: Simplify right side
    285,154.54x = 62,104,335,798.57
  5. Step 5: Solve for x
    x = 62,104,335,798.57/285,154.54
  6. Step 6: Final answer
    x = 217,791.85

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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.