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Finding the Fourth Proportional to 413,002.92, 570,048.78 and 282,233.58

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Solution

The fourth proportional to 413,002.92, 570,048.78 and 282,233.58 is: 389,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,002.92 : 570,048.78 = 282,233.58 : x
  2. Step 2: Convert to fraction form
    413,002.92/570,048.78 = 282,233.58/x
  3. Step 3: Cross multiply
    413,002.92x = 570,048.78 × 282,233.58
  4. Step 4: Simplify right side
    413,002.92x = 160,886,907,954.03
  5. Step 5: Solve for x
    x = 160,886,907,954.03/413,002.92
  6. Step 6: Final answer
    x = 389,553.92

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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.