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Finding the Fourth Proportional to 306,530.44, 459,838.80 and 106,822.12

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Solution

The fourth proportional to 306,530.44, 459,838.80 and 106,822.12 is: 160,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,530.44 : 459,838.80 = 106,822.12 : x
  2. Step 2: Convert to fraction form
    306,530.44/459,838.80 = 106,822.12/x
  3. Step 3: Cross multiply
    306,530.44x = 459,838.80 × 106,822.12
  4. Step 4: Simplify right side
    306,530.44x = 49,120,955,474.26
  5. Step 5: Solve for x
    x = 49,120,955,474.26/306,530.44
  6. Step 6: Final answer
    x = 160,248.21

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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.