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Finding the Fourth Proportional to 509,006.28, 763,603.22 and 167,468.90

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Solution

The fourth proportional to 509,006.28, 763,603.22 and 167,468.90 is: 251,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,006.28 : 763,603.22 = 167,468.90 : x
  2. Step 2: Convert to fraction form
    509,006.28/763,603.22 = 167,468.90/x
  3. Step 3: Cross multiply
    509,006.28x = 763,603.22 × 167,468.90
  4. Step 4: Simplify right side
    509,006.28x = 127,879,788,543.51
  5. Step 5: Solve for x
    x = 127,879,788,543.51/509,006.28
  6. Step 6: Final answer
    x = 251,234.21

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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.