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Finding the Fourth Proportional to 275,841.58, 413,468.34 and 157,257.58

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Solution

The fourth proportional to 275,841.58, 413,468.34 and 157,257.58 is: 235,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,841.58 : 413,468.34 = 157,257.58 : x
  2. Step 2: Convert to fraction form
    275,841.58/413,468.34 = 157,257.58/x
  3. Step 3: Cross multiply
    275,841.58x = 413,468.34 × 157,257.58
  4. Step 4: Simplify right side
    275,841.58x = 65,021,030,555.02
  5. Step 5: Solve for x
    x = 65,021,030,555.02/275,841.58
  6. Step 6: Final answer
    x = 235,718.74

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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.