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Finding the Fourth Proportional to 340,446, 469,830.06 and 189,543

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Solution

The fourth proportional to 340,446, 469,830.06 and 189,543 is: 261,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,446 : 469,830.06 = 189,543 : x
  2. Step 2: Convert to fraction form
    340,446/469,830.06 = 189,543/x
  3. Step 3: Cross multiply
    340,446x = 469,830.06 × 189,543
  4. Step 4: Simplify right side
    340,446x = 89,052,999,062.58
  5. Step 5: Solve for x
    x = 89,052,999,062.58/340,446
  6. Step 6: Final answer
    x = 261,577.46

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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.