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Finding the Fourth Proportional to 280,666.40, 422,036.40 and 235,047.20

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Solution

The fourth proportional to 280,666.40, 422,036.40 and 235,047.20 is: 353,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,666.40 : 422,036.40 = 235,047.20 : x
  2. Step 2: Convert to fraction form
    280,666.40/422,036.40 = 235,047.20/x
  3. Step 3: Cross multiply
    280,666.40x = 422,036.40 × 235,047.20
  4. Step 4: Simplify right side
    280,666.40x = 99,198,474,118.08
  5. Step 5: Solve for x
    x = 99,198,474,118.08/280,666.40
  6. Step 6: Final answer
    x = 353,439.08

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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.