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Finding the Fourth Proportional to 614,853.30, 922,971.15 and 475,230.90

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Solution

The fourth proportional to 614,853.30, 922,971.15 and 475,230.90 is: 713,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,853.30 : 922,971.15 = 475,230.90 : x
  2. Step 2: Convert to fraction form
    614,853.30/922,971.15 = 475,230.90/x
  3. Step 3: Cross multiply
    614,853.30x = 922,971.15 × 475,230.90
  4. Step 4: Simplify right side
    614,853.30x = 438,624,410,288.54
  5. Step 5: Solve for x
    x = 438,624,410,288.54/614,853.30
  6. Step 6: Final answer
    x = 713,380.59

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Why These Related Problems?

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