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Finding the Fourth Proportional to 285,107.16, 393,460.24 and 157,782.80

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Solution

The fourth proportional to 285,107.16, 393,460.24 and 157,782.80 is: 217,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,107.16 : 393,460.24 = 157,782.80 : x
  2. Step 2: Convert to fraction form
    285,107.16/393,460.24 = 157,782.80/x
  3. Step 3: Cross multiply
    285,107.16x = 393,460.24 × 157,782.80
  4. Step 4: Simplify right side
    285,107.16x = 62,081,258,355.87
  5. Step 5: Solve for x
    x = 62,081,258,355.87/285,107.16
  6. Step 6: Final answer
    x = 217,747.10

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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.