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Finding the Fourth Proportional to 708,910.26, 978,257.16 and 402,944.10

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Solution

The fourth proportional to 708,910.26, 978,257.16 and 402,944.10 is: 556,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,910.26 : 978,257.16 = 402,944.10 : x
  2. Step 2: Convert to fraction form
    708,910.26/978,257.16 = 402,944.10/x
  3. Step 3: Cross multiply
    708,910.26x = 978,257.16 × 402,944.10
  4. Step 4: Simplify right side
    708,910.26x = 394,182,950,904.76
  5. Step 5: Solve for x
    x = 394,182,950,904.76/708,910.26
  6. Step 6: Final answer
    x = 556,040.69

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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.