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Finding the Fourth Proportional to 314,599.24, 471,505.02 and 247,775.50

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Solution

The fourth proportional to 314,599.24, 471,505.02 and 247,775.50 is: 371,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,599.24 : 471,505.02 = 247,775.50 : x
  2. Step 2: Convert to fraction form
    314,599.24/471,505.02 = 247,775.50/x
  3. Step 3: Cross multiply
    314,599.24x = 471,505.02 × 247,775.50
  4. Step 4: Simplify right side
    314,599.24x = 116,827,392,083.01
  5. Step 5: Solve for x
    x = 116,827,392,083.01/314,599.24
  6. Step 6: Final answer
    x = 371,353.07

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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.