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Finding the Fourth Proportional to 340,538.38, 469,946.21 and 187,577.22

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Solution

The fourth proportional to 340,538.38, 469,946.21 and 187,577.22 is: 258,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,538.38 : 469,946.21 = 187,577.22 : x
  2. Step 2: Convert to fraction form
    340,538.38/469,946.21 = 187,577.22/x
  3. Step 3: Cross multiply
    340,538.38x = 469,946.21 × 187,577.22
  4. Step 4: Simplify right side
    340,538.38x = 88,151,201,802.30
  5. Step 5: Solve for x
    x = 88,151,201,802.30/340,538.38
  6. Step 6: Final answer
    x = 258,858.35

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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.