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Finding the Fourth Proportional to 601,840, 830,539.20 and 333,568

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Solution

The fourth proportional to 601,840, 830,539.20 and 333,568 is: 460,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,840 : 830,539.20 = 333,568 : x
  2. Step 2: Convert to fraction form
    601,840/830,539.20 = 333,568/x
  3. Step 3: Cross multiply
    601,840x = 830,539.20 × 333,568
  4. Step 4: Simplify right side
    601,840x = 277,041,299,865.60
  5. Step 5: Solve for x
    x = 277,041,299,865.60/601,840
  6. Step 6: Final answer
    x = 460,323.84

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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.