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Finding the Fourth Proportional to 413,776.80, 620,652.60 and 114,275.52

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Solution

The fourth proportional to 413,776.80, 620,652.60 and 114,275.52 is: 171,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,776.80 : 620,652.60 = 114,275.52 : x
  2. Step 2: Convert to fraction form
    413,776.80/620,652.60 = 114,275.52/x
  3. Step 3: Cross multiply
    413,776.80x = 620,652.60 × 114,275.52
  4. Step 4: Simplify right side
    413,776.80x = 70,925,398,604.35
  5. Step 5: Solve for x
    x = 70,925,398,604.35/413,776.80
  6. Step 6: Final answer
    x = 171,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.