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Finding the Fourth Proportional to 313,053.50, 469,580.26 and 146,841.50

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Solution

The fourth proportional to 313,053.50, 469,580.26 and 146,841.50 is: 220,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,053.50 : 469,580.26 = 146,841.50 : x
  2. Step 2: Convert to fraction form
    313,053.50/469,580.26 = 146,841.50/x
  3. Step 3: Cross multiply
    313,053.50x = 469,580.26 × 146,841.50
  4. Step 4: Simplify right side
    313,053.50x = 68,953,869,748.79
  5. Step 5: Solve for x
    x = 68,953,869,748.79/313,053.50
  6. Step 6: Final answer
    x = 220,262.25

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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.