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Finding the Fourth Proportional to 382,666.70, 574,083.10 and 116,420.30

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Solution

The fourth proportional to 382,666.70, 574,083.10 and 116,420.30 is: 174,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,666.70 : 574,083.10 = 116,420.30 : x
  2. Step 2: Convert to fraction form
    382,666.70/574,083.10 = 116,420.30/x
  3. Step 3: Cross multiply
    382,666.70x = 574,083.10 × 116,420.30
  4. Step 4: Simplify right side
    382,666.70x = 66,834,926,726.93
  5. Step 5: Solve for x
    x = 66,834,926,726.93/382,666.70
  6. Step 6: Final answer
    x = 174,655.72

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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.