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Finding the Fourth Proportional to 477,691.14, 659,200.14 and 262,831.32

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Solution

The fourth proportional to 477,691.14, 659,200.14 and 262,831.32 is: 362,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,691.14 : 659,200.14 = 262,831.32 : x
  2. Step 2: Convert to fraction form
    477,691.14/659,200.14 = 262,831.32/x
  3. Step 3: Cross multiply
    477,691.14x = 659,200.14 × 262,831.32
  4. Step 4: Simplify right side
    477,691.14x = 173,258,442,940.39
  5. Step 5: Solve for x
    x = 173,258,442,940.39/477,691.14
  6. Step 6: Final answer
    x = 362,699.72

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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.