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Finding the Fourth Proportional to 341,460.36, 471,216.96 and 188,495.78

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Solution

The fourth proportional to 341,460.36, 471,216.96 and 188,495.78 is: 260,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,460.36 : 471,216.96 = 188,495.78 : x
  2. Step 2: Convert to fraction form
    341,460.36/471,216.96 = 188,495.78/x
  3. Step 3: Cross multiply
    341,460.36x = 471,216.96 × 188,495.78
  4. Step 4: Simplify right side
    341,460.36x = 88,822,406,068.34
  5. Step 5: Solve for x
    x = 88,822,406,068.34/341,460.36
  6. Step 6: Final answer
    x = 260,125.09

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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.