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Finding the Fourth Proportional to 417,686.40, 625,838.40 and 355,478.40

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Solution

The fourth proportional to 417,686.40, 625,838.40 and 355,478.40 is: 532,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,686.40 : 625,838.40 = 355,478.40 : x
  2. Step 2: Convert to fraction form
    417,686.40/625,838.40 = 355,478.40/x
  3. Step 3: Cross multiply
    417,686.40x = 625,838.40 × 355,478.40
  4. Step 4: Simplify right side
    417,686.40x = 222,472,033,090.56
  5. Step 5: Solve for x
    x = 222,472,033,090.56/417,686.40
  6. Step 6: Final answer
    x = 532,629.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.