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Finding the Fourth Proportional to 576,460.33, 866,002.70 and 417,028.03

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Solution

The fourth proportional to 576,460.33, 866,002.70 and 417,028.03 is: 626,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,460.33 : 866,002.70 = 417,028.03 : x
  2. Step 2: Convert to fraction form
    576,460.33/866,002.70 = 417,028.03/x
  3. Step 3: Cross multiply
    576,460.33x = 866,002.70 × 417,028.03
  4. Step 4: Simplify right side
    576,460.33x = 361,147,399,955.68
  5. Step 5: Solve for x
    x = 361,147,399,955.68/576,460.33
  6. Step 6: Final answer
    x = 626,491.33

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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.