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Finding the Fourth Proportional to 586,820.22, 809,831.19 and 332,165.94

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Solution

The fourth proportional to 586,820.22, 809,831.19 and 332,165.94 is: 458,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,820.22 : 809,831.19 = 332,165.94 : x
  2. Step 2: Convert to fraction form
    586,820.22/809,831.19 = 332,165.94/x
  3. Step 3: Cross multiply
    586,820.22x = 809,831.19 × 332,165.94
  4. Step 4: Simplify right side
    586,820.22x = 268,998,338,467.67
  5. Step 5: Solve for x
    x = 268,998,338,467.67/586,820.22
  6. Step 6: Final answer
    x = 458,399.91

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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.