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Finding the Fourth Proportional to 341,359.21, 471,102.43 and 188,427.77

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Solution

The fourth proportional to 341,359.21, 471,102.43 and 188,427.77 is: 260,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,359.21 : 471,102.43 = 188,427.77 : x
  2. Step 2: Convert to fraction form
    341,359.21/471,102.43 = 188,427.77/x
  3. Step 3: Cross multiply
    341,359.21x = 471,102.43 × 188,427.77
  4. Step 4: Simplify right side
    341,359.21x = 88,768,779,619.84
  5. Step 5: Solve for x
    x = 88,768,779,619.84/341,359.21
  6. Step 6: Final answer
    x = 260,045.07

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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.