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Finding the Fourth Proportional to 409,584.72, 565,225.62 and 228,294.60

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Solution

The fourth proportional to 409,584.72, 565,225.62 and 228,294.60 is: 315,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,584.72 : 565,225.62 = 228,294.60 : x
  2. Step 2: Convert to fraction form
    409,584.72/565,225.62 = 228,294.60/x
  3. Step 3: Cross multiply
    409,584.72x = 565,225.62 × 228,294.60
  4. Step 4: Simplify right side
    409,584.72x = 129,037,956,827.65
  5. Step 5: Solve for x
    x = 129,037,956,827.65/409,584.72
  6. Step 6: Final answer
    x = 315,045.83

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Why These Related Problems?

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