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Finding the Fourth Proportional to 410,058.60, 565,041 and 302,458.20

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Solution

The fourth proportional to 410,058.60, 565,041 and 302,458.20 is: 416,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,058.60 : 565,041 = 302,458.20 : x
  2. Step 2: Convert to fraction form
    410,058.60/565,041 = 302,458.20/x
  3. Step 3: Cross multiply
    410,058.60x = 565,041 × 302,458.20
  4. Step 4: Simplify right side
    410,058.60x = 170,901,283,786.20
  5. Step 5: Solve for x
    x = 170,901,283,786.20/410,058.60
  6. Step 6: Final answer
    x = 416,772.83

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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.