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Finding the Fourth Proportional to 362,817.60, 544,226.40 and 110,097.60

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Solution

The fourth proportional to 362,817.60, 544,226.40 and 110,097.60 is: 165,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,817.60 : 544,226.40 = 110,097.60 : x
  2. Step 2: Convert to fraction form
    362,817.60/544,226.40 = 110,097.60/x
  3. Step 3: Cross multiply
    362,817.60x = 544,226.40 × 110,097.60
  4. Step 4: Simplify right side
    362,817.60x = 59,918,020,496.64
  5. Step 5: Solve for x
    x = 59,918,020,496.64/362,817.60
  6. Step 6: Final answer
    x = 165,146.40

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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.