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Finding the Fourth Proportional to 702,262.68, 969,127.01 and 411,815.11

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Solution

The fourth proportional to 702,262.68, 969,127.01 and 411,815.11 is: 568,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,262.68 : 969,127.01 = 411,815.11 : x
  2. Step 2: Convert to fraction form
    702,262.68/969,127.01 = 411,815.11/x
  3. Step 3: Cross multiply
    702,262.68x = 969,127.01 × 411,815.11
  4. Step 4: Simplify right side
    702,262.68x = 399,101,143,289.54
  5. Step 5: Solve for x
    x = 399,101,143,289.54/702,262.68
  6. Step 6: Final answer
    x = 568,307.49

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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.