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Finding the Fourth Proportional to 520,262.50, 718,020.66 and 293,922.58

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Solution

The fourth proportional to 520,262.50, 718,020.66 and 293,922.58 is: 405,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,262.50 : 718,020.66 = 293,922.58 : x
  2. Step 2: Convert to fraction form
    520,262.50/718,020.66 = 293,922.58/x
  3. Step 3: Cross multiply
    520,262.50x = 718,020.66 × 293,922.58
  4. Step 4: Simplify right side
    520,262.50x = 211,042,484,880.50
  5. Step 5: Solve for x
    x = 211,042,484,880.50/520,262.50
  6. Step 6: Final answer
    x = 405,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.