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Finding the Fourth Proportional to 715,014, 1,072,521 and 265,847.94

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Solution

The fourth proportional to 715,014, 1,072,521 and 265,847.94 is: 398,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,014 : 1,072,521 = 265,847.94 : x
  2. Step 2: Convert to fraction form
    715,014/1,072,521 = 265,847.94/x
  3. Step 3: Cross multiply
    715,014x = 1,072,521 × 265,847.94
  4. Step 4: Simplify right side
    715,014x = 285,127,498,456.74
  5. Step 5: Solve for x
    x = 285,127,498,456.74/715,014
  6. Step 6: Final answer
    x = 398,771.91

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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.