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Finding the Fourth Proportional to 420,096.56, 579,533.16 and 284,178.08

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Solution

The fourth proportional to 420,096.56, 579,533.16 and 284,178.08 is: 392,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,096.56 : 579,533.16 = 284,178.08 : x
  2. Step 2: Convert to fraction form
    420,096.56/579,533.16 = 284,178.08/x
  3. Step 3: Cross multiply
    420,096.56x = 579,533.16 × 284,178.08
  4. Step 4: Simplify right side
    420,096.56x = 164,690,620,705.13
  5. Step 5: Solve for x
    x = 164,690,620,705.13/420,096.56
  6. Step 6: Final answer
    x = 392,030.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.