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Finding the Fourth Proportional to 324,697.86, 487,095.39 and 114,298.74

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Solution

The fourth proportional to 324,697.86, 487,095.39 and 114,298.74 is: 171,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,697.86 : 487,095.39 = 114,298.74 : x
  2. Step 2: Convert to fraction form
    324,697.86/487,095.39 = 114,298.74/x
  3. Step 3: Cross multiply
    324,697.86x = 487,095.39 × 114,298.74
  4. Step 4: Simplify right side
    324,697.86x = 55,674,389,336.81
  5. Step 5: Solve for x
    x = 55,674,389,336.81/324,697.86
  6. Step 6: Final answer
    x = 171,465.22

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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.