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Finding the Fourth Proportional to 585,531.37, 808,039.56 and 343,816.84

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Solution

The fourth proportional to 585,531.37, 808,039.56 and 343,816.84 is: 474,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,531.37 : 808,039.56 = 343,816.84 : x
  2. Step 2: Convert to fraction form
    585,531.37/808,039.56 = 343,816.84/x
  3. Step 3: Cross multiply
    585,531.37x = 808,039.56 × 343,816.84
  4. Step 4: Simplify right side
    585,531.37x = 277,817,608,114.19
  5. Step 5: Solve for x
    x = 277,817,608,114.19/585,531.37
  6. Step 6: Final answer
    x = 474,470.92

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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.