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Finding the Fourth Proportional to 385,993.58, 578,968.41 and 116,115.98

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Solution

The fourth proportional to 385,993.58, 578,968.41 and 116,115.98 is: 174,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,993.58 : 578,968.41 = 116,115.98 : x
  2. Step 2: Convert to fraction form
    385,993.58/578,968.41 = 116,115.98/x
  3. Step 3: Cross multiply
    385,993.58x = 578,968.41 × 116,115.98
  4. Step 4: Simplify right side
    385,993.58x = 67,227,484,316.19
  5. Step 5: Solve for x
    x = 67,227,484,316.19/385,993.58
  6. Step 6: Final answer
    x = 174,167.36

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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.