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Finding the Fourth Proportional to 703,419.82, 970,718.00 and 381,138.64

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Solution

The fourth proportional to 703,419.82, 970,718.00 and 381,138.64 is: 525,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,419.82 : 970,718.00 = 381,138.64 : x
  2. Step 2: Convert to fraction form
    703,419.82/970,718.00 = 381,138.64/x
  3. Step 3: Cross multiply
    703,419.82x = 970,718.00 × 381,138.64
  4. Step 4: Simplify right side
    703,419.82x = 369,978,136,437.83
  5. Step 5: Solve for x
    x = 369,978,136,437.83/703,419.82
  6. Step 6: Final answer
    x = 525,970.59

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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.