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Finding the Fourth Proportional to 684,788, 1,027,648.56 and 241,556

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Solution

The fourth proportional to 684,788, 1,027,648.56 and 241,556 is: 362,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,788 : 1,027,648.56 = 241,556 : x
  2. Step 2: Convert to fraction form
    684,788/1,027,648.56 = 241,556/x
  3. Step 3: Cross multiply
    684,788x = 1,027,648.56 × 241,556
  4. Step 4: Simplify right side
    684,788x = 248,234,675,559.36
  5. Step 5: Solve for x
    x = 248,234,675,559.36/684,788
  6. Step 6: Final answer
    x = 362,498.58

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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.