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Finding the Fourth Proportional to 603,585.88, 905,308.08 and 204,225.46

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Solution

The fourth proportional to 603,585.88, 905,308.08 and 204,225.46 is: 306,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,585.88 : 905,308.08 = 204,225.46 : x
  2. Step 2: Convert to fraction form
    603,585.88/905,308.08 = 204,225.46/x
  3. Step 3: Cross multiply
    603,585.88x = 905,308.08 × 204,225.46
  4. Step 4: Simplify right side
    603,585.88x = 184,886,959,079.72
  5. Step 5: Solve for x
    x = 184,886,959,079.72/603,585.88
  6. Step 6: Final answer
    x = 306,314.25

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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.