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Finding the Fourth Proportional to 600,088.50, 900,575.82 and 284,546.52

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Solution

The fourth proportional to 600,088.50, 900,575.82 and 284,546.52 is: 427,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,088.50 : 900,575.82 = 284,546.52 : x
  2. Step 2: Convert to fraction form
    600,088.50/900,575.82 = 284,546.52/x
  3. Step 3: Cross multiply
    600,088.50x = 900,575.82 × 284,546.52
  4. Step 4: Simplify right side
    600,088.50x = 256,255,715,577.15
  5. Step 5: Solve for x
    x = 256,255,715,577.15/600,088.50
  6. Step 6: Final answer
    x = 427,029.87

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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.