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Finding the Fourth Proportional to 475,335.46, 712,523.13 and 297,966.79

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Solution

The fourth proportional to 475,335.46, 712,523.13 and 297,966.79 is: 446,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,335.46 : 712,523.13 = 297,966.79 : x
  2. Step 2: Convert to fraction form
    475,335.46/712,523.13 = 297,966.79/x
  3. Step 3: Cross multiply
    475,335.46x = 712,523.13 × 297,966.79
  4. Step 4: Simplify right side
    475,335.46x = 212,308,229,846.85
  5. Step 5: Solve for x
    x = 212,308,229,846.85/475,335.46
  6. Step 6: Final answer
    x = 446,649.26

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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.