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Finding the Fourth Proportional to 357,724.74, 493,552.49 and 214,432.50

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Solution

The fourth proportional to 357,724.74, 493,552.49 and 214,432.50 is: 295,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,724.74 : 493,552.49 = 214,432.50 : x
  2. Step 2: Convert to fraction form
    357,724.74/493,552.49 = 214,432.50/x
  3. Step 3: Cross multiply
    357,724.74x = 493,552.49 × 214,432.50
  4. Step 4: Simplify right side
    357,724.74x = 105,833,694,311.93
  5. Step 5: Solve for x
    x = 105,833,694,311.93/357,724.74
  6. Step 6: Final answer
    x = 295,852.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.