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Finding the Fourth Proportional to 410,055.10, 615,082.65 and 327,111.10

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Solution

The fourth proportional to 410,055.10, 615,082.65 and 327,111.10 is: 490,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,055.10 : 615,082.65 = 327,111.10 : x
  2. Step 2: Convert to fraction form
    410,055.10/615,082.65 = 327,111.10/x
  3. Step 3: Cross multiply
    410,055.10x = 615,082.65 × 327,111.10
  4. Step 4: Simplify right side
    410,055.10x = 201,200,362,232.42
  5. Step 5: Solve for x
    x = 201,200,362,232.42/410,055.10
  6. Step 6: Final answer
    x = 490,666.65

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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.