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Finding the Fourth Proportional to 290,281.76, 400,561.44 and 162,932.48

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Solution

The fourth proportional to 290,281.76, 400,561.44 and 162,932.48 is: 224,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,281.76 : 400,561.44 = 162,932.48 : x
  2. Step 2: Convert to fraction form
    290,281.76/400,561.44 = 162,932.48/x
  3. Step 3: Cross multiply
    290,281.76x = 400,561.44 × 162,932.48
  4. Step 4: Simplify right side
    290,281.76x = 65,264,468,811.57
  5. Step 5: Solve for x
    x = 65,264,468,811.57/290,281.76
  6. Step 6: Final answer
    x = 224,831.45

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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.