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Finding the Fourth Proportional to 362,416.60, 543,624.90 and 306,429.40

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Solution

The fourth proportional to 362,416.60, 543,624.90 and 306,429.40 is: 459,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,416.60 : 543,624.90 = 306,429.40 : x
  2. Step 2: Convert to fraction form
    362,416.60/543,624.90 = 306,429.40/x
  3. Step 3: Cross multiply
    362,416.60x = 543,624.90 × 306,429.40
  4. Step 4: Simplify right side
    362,416.60x = 166,582,651,932.06
  5. Step 5: Solve for x
    x = 166,582,651,932.06/362,416.60
  6. Step 6: Final answer
    x = 459,644.10

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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.