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Finding the Fourth Proportional to 601,612.14, 830,224.77 and 333,340.14

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Solution

The fourth proportional to 601,612.14, 830,224.77 and 333,340.14 is: 460,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,612.14 : 830,224.77 = 333,340.14 : x
  2. Step 2: Convert to fraction form
    601,612.14/830,224.77 = 333,340.14/x
  3. Step 3: Cross multiply
    601,612.14x = 830,224.77 × 333,340.14
  4. Step 4: Simplify right side
    601,612.14x = 276,747,241,063.27
  5. Step 5: Solve for x
    x = 276,747,241,063.27/601,612.14
  6. Step 6: Final answer
    x = 460,009.40

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