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Finding the Fourth Proportional to 275,725.80, 413,588.70 and 157,409.10

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Solution

The fourth proportional to 275,725.80, 413,588.70 and 157,409.10 is: 236,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,725.80 : 413,588.70 = 157,409.10 : x
  2. Step 2: Convert to fraction form
    275,725.80/413,588.70 = 157,409.10/x
  3. Step 3: Cross multiply
    275,725.80x = 413,588.70 × 157,409.10
  4. Step 4: Simplify right side
    275,725.80x = 65,102,625,037.17
  5. Step 5: Solve for x
    x = 65,102,625,037.17/275,725.80
  6. Step 6: Final answer
    x = 236,113.65

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1.5x scale

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.