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Finding the Fourth Proportional to 335,024.65, 462,441.77 and 214,490.58

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Solution

The fourth proportional to 335,024.65, 462,441.77 and 214,490.58 is: 296,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,024.65 : 462,441.77 = 214,490.58 : x
  2. Step 2: Convert to fraction form
    335,024.65/462,441.77 = 214,490.58/x
  3. Step 3: Cross multiply
    335,024.65x = 462,441.77 × 214,490.58
  4. Step 4: Simplify right side
    335,024.65x = 99,189,400,078.86
  5. Step 5: Solve for x
    x = 99,189,400,078.86/335,024.65
  6. Step 6: Final answer
    x = 296,065.98

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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.