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Finding the Fourth Proportional to 604,234.60, 904,019.10 and 394,282.60

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Solution

The fourth proportional to 604,234.60, 904,019.10 and 394,282.60 is: 589,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,234.60 : 904,019.10 = 394,282.60 : x
  2. Step 2: Convert to fraction form
    604,234.60/904,019.10 = 394,282.60/x
  3. Step 3: Cross multiply
    604,234.60x = 904,019.10 × 394,282.60
  4. Step 4: Simplify right side
    604,234.60x = 356,439,001,197.66
  5. Step 5: Solve for x
    x = 356,439,001,197.66/604,234.60
  6. Step 6: Final answer
    x = 589,901.67

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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.