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Finding the Fourth Proportional to 703,498.50, 970,827.93 and 381,205.98

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Solution

The fourth proportional to 703,498.50, 970,827.93 and 381,205.98 is: 526,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,498.50 : 970,827.93 = 381,205.98 : x
  2. Step 2: Convert to fraction form
    703,498.50/970,827.93 = 381,205.98/x
  3. Step 3: Cross multiply
    703,498.50x = 970,827.93 × 381,205.98
  4. Step 4: Simplify right side
    703,498.50x = 370,085,412,467.02
  5. Step 5: Solve for x
    x = 370,085,412,467.02/703,498.50
  6. Step 6: Final answer
    x = 526,064.25

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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.