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Finding the Fourth Proportional to 394,048.04, 590,802.04 and 141,323.12

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Solution

The fourth proportional to 394,048.04, 590,802.04 and 141,323.12 is: 211,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,048.04 : 590,802.04 = 141,323.12 : x
  2. Step 2: Convert to fraction form
    394,048.04/590,802.04 = 141,323.12/x
  3. Step 3: Cross multiply
    394,048.04x = 590,802.04 × 141,323.12
  4. Step 4: Simplify right side
    394,048.04x = 83,493,987,595.16
  5. Step 5: Solve for x
    x = 83,493,987,595.16/394,048.04
  6. Step 6: Final answer
    x = 211,887.84

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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.