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Finding the Fourth Proportional to 359,014.70, 538,522.05 and 109,664.30

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Solution

The fourth proportional to 359,014.70, 538,522.05 and 109,664.30 is: 164,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,014.70 : 538,522.05 = 109,664.30 : x
  2. Step 2: Convert to fraction form
    359,014.70/538,522.05 = 109,664.30/x
  3. Step 3: Cross multiply
    359,014.70x = 538,522.05 × 109,664.30
  4. Step 4: Simplify right side
    359,014.70x = 59,056,643,647.82
  5. Step 5: Solve for x
    x = 59,056,643,647.82/359,014.70
  6. Step 6: Final answer
    x = 164,496.45

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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.