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Finding the Fourth Proportional to 395,742.25, 592,628.64 and 276,856.93

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Solution

The fourth proportional to 395,742.25, 592,628.64 and 276,856.93 is: 414,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,742.25 : 592,628.64 = 276,856.93 : x
  2. Step 2: Convert to fraction form
    395,742.25/592,628.64 = 276,856.93/x
  3. Step 3: Cross multiply
    395,742.25x = 592,628.64 × 276,856.93
  4. Step 4: Simplify right side
    395,742.25x = 164,073,345,900.48
  5. Step 5: Solve for x
    x = 164,073,345,900.48/395,742.25
  6. Step 6: Final answer
    x = 414,596.49

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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.