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Finding the Fourth Proportional to 590,035.80, 813,465.44 and 385,735.48

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Solution

The fourth proportional to 590,035.80, 813,465.44 and 385,735.48 is: 531,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,035.80 : 813,465.44 = 385,735.48 : x
  2. Step 2: Convert to fraction form
    590,035.80/813,465.44 = 385,735.48/x
  3. Step 3: Cross multiply
    590,035.80x = 813,465.44 × 385,735.48
  4. Step 4: Simplify right side
    590,035.80x = 313,782,481,961.81
  5. Step 5: Solve for x
    x = 313,782,481,961.81/590,035.80
  6. Step 6: Final answer
    x = 531,802.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.