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Finding the Fourth Proportional to 707,020.11, 975,517.62 and 416,643.54

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Solution

The fourth proportional to 707,020.11, 975,517.62 and 416,643.54 is: 574,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,020.11 : 975,517.62 = 416,643.54 : x
  2. Step 2: Convert to fraction form
    707,020.11/975,517.62 = 416,643.54/x
  3. Step 3: Cross multiply
    707,020.11x = 975,517.62 × 416,643.54
  4. Step 4: Simplify right side
    707,020.11x = 406,443,114,529.18
  5. Step 5: Solve for x
    x = 406,443,114,529.18/707,020.11
  6. Step 6: Final answer
    x = 574,867.83

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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.