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Finding the Fourth Proportional to 860,618, 1,187,652.84 and 502,922

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Solution

The fourth proportional to 860,618, 1,187,652.84 and 502,922 is: 694,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,618 : 1,187,652.84 = 502,922 : x
  2. Step 2: Convert to fraction form
    860,618/1,187,652.84 = 502,922/x
  3. Step 3: Cross multiply
    860,618x = 1,187,652.84 × 502,922
  4. Step 4: Simplify right side
    860,618x = 597,296,741,598.48
  5. Step 5: Solve for x
    x = 597,296,741,598.48/860,618
  6. Step 6: Final answer
    x = 694,032.36

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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.