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Finding the Fourth Proportional to 442,063.09, 663,216.51 and 176,010.44

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Solution

The fourth proportional to 442,063.09, 663,216.51 and 176,010.44 is: 264,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,063.09 : 663,216.51 = 176,010.44 : x
  2. Step 2: Convert to fraction form
    442,063.09/663,216.51 = 176,010.44/x
  3. Step 3: Cross multiply
    442,063.09x = 663,216.51 × 176,010.44
  4. Step 4: Simplify right side
    442,063.09x = 116,733,029,740.36
  5. Step 5: Solve for x
    x = 116,733,029,740.36/442,063.09
  6. Step 6: Final answer
    x = 264,064.19

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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.