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Finding the Fourth Proportional to 410,392.22, 566,576.84 and 312,830.15

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Solution

The fourth proportional to 410,392.22, 566,576.84 and 312,830.15 is: 431,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,392.22 : 566,576.84 = 312,830.15 : x
  2. Step 2: Convert to fraction form
    410,392.22/566,576.84 = 312,830.15/x
  3. Step 3: Cross multiply
    410,392.22x = 566,576.84 × 312,830.15
  4. Step 4: Simplify right side
    410,392.22x = 177,242,315,792.92
  5. Step 5: Solve for x
    x = 177,242,315,792.92/410,392.22
  6. Step 6: Final answer
    x = 431,885.18

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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.