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Finding the Fourth Proportional to 507,161.90, 760,817.03 and 152,203.97

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Solution

The fourth proportional to 507,161.90, 760,817.03 and 152,203.97 is: 228,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,161.90 : 760,817.03 = 152,203.97 : x
  2. Step 2: Convert to fraction form
    507,161.90/760,817.03 = 152,203.97/x
  3. Step 3: Cross multiply
    507,161.90x = 760,817.03 × 152,203.97
  4. Step 4: Simplify right side
    507,161.90x = 115,799,367,844.50
  5. Step 5: Solve for x
    x = 115,799,367,844.50/507,161.90
  6. Step 6: Final answer
    x = 228,328.21

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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.