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Finding the Fourth Proportional to 323,147.84, 484,794.45 and 98,530.98

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Solution

The fourth proportional to 323,147.84, 484,794.45 and 98,530.98 is: 147,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,147.84 : 484,794.45 = 98,530.98 : x
  2. Step 2: Convert to fraction form
    323,147.84/484,794.45 = 98,530.98/x
  3. Step 3: Cross multiply
    323,147.84x = 484,794.45 × 98,530.98
  4. Step 4: Simplify right side
    323,147.84x = 47,767,272,750.37
  5. Step 5: Solve for x
    x = 47,767,272,750.37/323,147.84
  6. Step 6: Final answer
    x = 147,818.63

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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.