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Finding the Fourth Proportional to 352,114.40, 527,588.40 and 299,626.40

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Solution

The fourth proportional to 352,114.40, 527,588.40 and 299,626.40 is: 448,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,114.40 : 527,588.40 = 299,626.40 : x
  2. Step 2: Convert to fraction form
    352,114.40/527,588.40 = 299,626.40/x
  3. Step 3: Cross multiply
    352,114.40x = 527,588.40 × 299,626.40
  4. Step 4: Simplify right side
    352,114.40x = 158,079,412,973.76
  5. Step 5: Solve for x
    x = 158,079,412,973.76/352,114.40
  6. Step 6: Final answer
    x = 448,943.33

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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.