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Finding the Fourth Proportional to 645,467.40, 967,315.35 and 408,385.66

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Solution

The fourth proportional to 645,467.40, 967,315.35 and 408,385.66 is: 612,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,467.40 : 967,315.35 = 408,385.66 : x
  2. Step 2: Convert to fraction form
    645,467.40/967,315.35 = 408,385.66/x
  3. Step 3: Cross multiply
    645,467.40x = 967,315.35 × 408,385.66
  4. Step 4: Simplify right side
    645,467.40x = 395,037,717,637.88
  5. Step 5: Solve for x
    x = 395,037,717,637.88/645,467.40
  6. Step 6: Final answer
    x = 612,018.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.