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Finding the Fourth Proportional to 314,461.90, 471,887.25 and 127,475.02

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Solution

The fourth proportional to 314,461.90, 471,887.25 and 127,475.02 is: 191,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,461.90 : 471,887.25 = 127,475.02 : x
  2. Step 2: Convert to fraction form
    314,461.90/471,887.25 = 127,475.02/x
  3. Step 3: Cross multiply
    314,461.90x = 471,887.25 × 127,475.02
  4. Step 4: Simplify right side
    314,461.90x = 60,153,836,631.50
  5. Step 5: Solve for x
    x = 60,153,836,631.50/314,461.90
  6. Step 6: Final answer
    x = 191,291.33

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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.