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Finding the Fourth Proportional to 410,090.96, 615,333 and 223,102.16

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Solution

The fourth proportional to 410,090.96, 615,333 and 223,102.16 is: 334,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,090.96 : 615,333 = 223,102.16 : x
  2. Step 2: Convert to fraction form
    410,090.96/615,333 = 223,102.16/x
  3. Step 3: Cross multiply
    410,090.96x = 615,333 × 223,102.16
  4. Step 4: Simplify right side
    410,090.96x = 137,282,121,419.28
  5. Step 5: Solve for x
    x = 137,282,121,419.28/410,090.96
  6. Step 6: Final answer
    x = 334,760.17

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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.