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Finding the Fourth Proportional to 285,143.77, 393,471.70 and 170,399.58

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Solution

The fourth proportional to 285,143.77, 393,471.70 and 170,399.58 is: 235,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,143.77 : 393,471.70 = 170,399.58 : x
  2. Step 2: Convert to fraction form
    285,143.77/393,471.70 = 170,399.58/x
  3. Step 3: Cross multiply
    285,143.77x = 393,471.70 × 170,399.58
  4. Step 4: Simplify right side
    285,143.77x = 67,047,412,421.89
  5. Step 5: Solve for x
    x = 67,047,412,421.89/285,143.77
  6. Step 6: Final answer
    x = 235,135.46

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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.