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Finding the Fourth Proportional to 470,947.68, 706,422.24 and 218,090.40

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Solution

The fourth proportional to 470,947.68, 706,422.24 and 218,090.40 is: 327,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,947.68 : 706,422.24 = 218,090.40 : x
  2. Step 2: Convert to fraction form
    470,947.68/706,422.24 = 218,090.40/x
  3. Step 3: Cross multiply
    470,947.68x = 706,422.24 × 218,090.40
  4. Step 4: Simplify right side
    470,947.68x = 154,063,908,890.50
  5. Step 5: Solve for x
    x = 154,063,908,890.50/470,947.68
  6. Step 6: Final answer
    x = 327,135.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.