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Finding the Fourth Proportional to 359,048.34, 538,114.50 and 190,649.34

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Solution

The fourth proportional to 359,048.34, 538,114.50 and 190,649.34 is: 285,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,048.34 : 538,114.50 = 190,649.34 : x
  2. Step 2: Convert to fraction form
    359,048.34/538,114.50 = 190,649.34/x
  3. Step 3: Cross multiply
    359,048.34x = 538,114.50 × 190,649.34
  4. Step 4: Simplify right side
    359,048.34x = 102,591,174,269.43
  5. Step 5: Solve for x
    x = 102,591,174,269.43/359,048.34
  6. Step 6: Final answer
    x = 285,730.81

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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.