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Finding the Fourth Proportional to 584,846.61, 876,046.13 and 470,375.74

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Solution

The fourth proportional to 584,846.61, 876,046.13 and 470,375.74 is: 704,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,846.61 : 876,046.13 = 470,375.74 : x
  2. Step 2: Convert to fraction form
    584,846.61/876,046.13 = 470,375.74/x
  3. Step 3: Cross multiply
    584,846.61x = 876,046.13 × 470,375.74
  4. Step 4: Simplify right side
    584,846.61x = 412,070,839,940.78
  5. Step 5: Solve for x
    x = 412,070,839,940.78/584,846.61
  6. Step 6: Final answer
    x = 704,579.34

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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.