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Finding the Fourth Proportional to 474,568.46, 654,904.50 and 259,708.58

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Solution

The fourth proportional to 474,568.46, 654,904.50 and 259,708.58 is: 358,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,568.46 : 654,904.50 = 259,708.58 : x
  2. Step 2: Convert to fraction form
    474,568.46/654,904.50 = 259,708.58/x
  3. Step 3: Cross multiply
    474,568.46x = 654,904.50 × 259,708.58
  4. Step 4: Simplify right side
    474,568.46x = 170,084,317,730.61
  5. Step 5: Solve for x
    x = 170,084,317,730.61/474,568.46
  6. Step 6: Final answer
    x = 358,397.85

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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.