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Finding the Fourth Proportional to 384,257.00, 530,319.64 and 319,612.19

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Solution

The fourth proportional to 384,257.00, 530,319.64 and 319,612.19 is: 441,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,257.00 : 530,319.64 = 319,612.19 : x
  2. Step 2: Convert to fraction form
    384,257.00/530,319.64 = 319,612.19/x
  3. Step 3: Cross multiply
    384,257.00x = 530,319.64 × 319,612.19
  4. Step 4: Simplify right side
    384,257.00x = 169,496,618,089.78
  5. Step 5: Solve for x
    x = 169,496,618,089.78/384,257.00
  6. Step 6: Final answer
    x = 441,102.22

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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.