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Finding the Fourth Proportional to 403,782.30, 605,527.65 and 204,036.30

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Solution

The fourth proportional to 403,782.30, 605,527.65 and 204,036.30 is: 305,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,782.30 : 605,527.65 = 204,036.30 : x
  2. Step 2: Convert to fraction form
    403,782.30/605,527.65 = 204,036.30/x
  3. Step 3: Cross multiply
    403,782.30x = 605,527.65 × 204,036.30
  4. Step 4: Simplify right side
    403,782.30x = 123,549,621,253.70
  5. Step 5: Solve for x
    x = 123,549,621,253.70/403,782.30
  6. Step 6: Final answer
    x = 305,980.78

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1.5x scale

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.