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Finding the Fourth Proportional to 360,097.66, 496,986.83 and 214,909.61

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Solution

The fourth proportional to 360,097.66, 496,986.83 and 214,909.61 is: 296,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,097.66 : 496,986.83 = 214,909.61 : x
  2. Step 2: Convert to fraction form
    360,097.66/496,986.83 = 214,909.61/x
  3. Step 3: Cross multiply
    360,097.66x = 496,986.83 × 214,909.61
  4. Step 4: Simplify right side
    360,097.66x = 106,807,243,493.42
  5. Step 5: Solve for x
    x = 106,807,243,493.42/360,097.66
  6. Step 6: Final answer
    x = 296,606.32

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1.5x scale

Why These Related Problems?

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