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Finding the Fourth Proportional to 314,659.36, 471,594.84 and 247,835.50

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Solution

The fourth proportional to 314,659.36, 471,594.84 and 247,835.50 is: 371,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,659.36 : 471,594.84 = 247,835.50 : x
  2. Step 2: Convert to fraction form
    314,659.36/471,594.84 = 247,835.50/x
  3. Step 3: Cross multiply
    314,659.36x = 471,594.84 × 247,835.50
  4. Step 4: Simplify right side
    314,659.36x = 116,877,942,968.82
  5. Step 5: Solve for x
    x = 116,877,942,968.82/314,659.36
  6. Step 6: Final answer
    x = 371,442.77

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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.