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Finding the Fourth Proportional to 499,055.49, 748,797.69 and 162,199.37

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Solution

The fourth proportional to 499,055.49, 748,797.69 and 162,199.37 is: 243,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,055.49 : 748,797.69 = 162,199.37 : x
  2. Step 2: Convert to fraction form
    499,055.49/748,797.69 = 162,199.37/x
  3. Step 3: Cross multiply
    499,055.49x = 748,797.69 × 162,199.37
  4. Step 4: Simplify right side
    499,055.49x = 121,454,509,831.47
  5. Step 5: Solve for x
    x = 121,454,509,831.47/499,055.49
  6. Step 6: Final answer
    x = 243,368.75

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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.