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Finding the Fourth Proportional to 417,465.36, 626,066.64 and 136,917.36

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Solution

The fourth proportional to 417,465.36, 626,066.64 and 136,917.36 is: 205,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,465.36 : 626,066.64 = 136,917.36 : x
  2. Step 2: Convert to fraction form
    417,465.36/626,066.64 = 136,917.36/x
  3. Step 3: Cross multiply
    417,465.36x = 626,066.64 × 136,917.36
  4. Step 4: Simplify right side
    417,465.36x = 85,719,391,532.87
  5. Step 5: Solve for x
    x = 85,719,391,532.87/417,465.36
  6. Step 6: Final answer
    x = 205,332.94

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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.