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Finding the Fourth Proportional to 594,814.32, 890,355.24 and 313,478.64

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Solution

The fourth proportional to 594,814.32, 890,355.24 and 313,478.64 is: 469,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,814.32 : 890,355.24 = 313,478.64 : x
  2. Step 2: Convert to fraction form
    594,814.32/890,355.24 = 313,478.64/x
  3. Step 3: Cross multiply
    594,814.32x = 890,355.24 × 313,478.64
  4. Step 4: Simplify right side
    594,814.32x = 279,107,349,752.07
  5. Step 5: Solve for x
    x = 279,107,349,752.07/594,814.32
  6. Step 6: Final answer
    x = 469,234.42

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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.