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Finding the Fourth Proportional to 314,402.40, 471,798 and 127,415.52

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Solution

The fourth proportional to 314,402.40, 471,798 and 127,415.52 is: 191,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,402.40 : 471,798 = 127,415.52 : x
  2. Step 2: Convert to fraction form
    314,402.40/471,798 = 127,415.52/x
  3. Step 3: Cross multiply
    314,402.40x = 471,798 × 127,415.52
  4. Step 4: Simplify right side
    314,402.40x = 60,114,387,504.96
  5. Step 5: Solve for x
    x = 60,114,387,504.96/314,402.40
  6. Step 6: Final answer
    x = 191,202.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.