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Finding the Fourth Proportional to 259,805.48, 358,493.10 and 157,777.76

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Solution

The fourth proportional to 259,805.48, 358,493.10 and 157,777.76 is: 217,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,805.48 : 358,493.10 = 157,777.76 : x
  2. Step 2: Convert to fraction form
    259,805.48/358,493.10 = 157,777.76/x
  3. Step 3: Cross multiply
    259,805.48x = 358,493.10 × 157,777.76
  4. Step 4: Simplify right side
    259,805.48x = 56,562,238,293.46
  5. Step 5: Solve for x
    x = 56,562,238,293.46/259,805.48
  6. Step 6: Final answer
    x = 217,709.95

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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.