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Finding the Fourth Proportional to 417,043.66, 625,565.34 and 360,716.32

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Solution

The fourth proportional to 417,043.66, 625,565.34 and 360,716.32 is: 541,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,043.66 : 625,565.34 = 360,716.32 : x
  2. Step 2: Convert to fraction form
    417,043.66/625,565.34 = 360,716.32/x
  3. Step 3: Cross multiply
    417,043.66x = 625,565.34 × 360,716.32
  4. Step 4: Simplify right side
    417,043.66x = 225,651,627,364.35
  5. Step 5: Solve for x
    x = 225,651,627,364.35/417,043.66
  6. Step 6: Final answer
    x = 541,074.35

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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.