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Finding the Fourth Proportional to 470,035.20, 705,513.60 and 233,644.80

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Solution

The fourth proportional to 470,035.20, 705,513.60 and 233,644.80 is: 350,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,035.20 : 705,513.60 = 233,644.80 : x
  2. Step 2: Convert to fraction form
    470,035.20/705,513.60 = 233,644.80/x
  3. Step 3: Cross multiply
    470,035.20x = 705,513.60 × 233,644.80
  4. Step 4: Simplify right side
    470,035.20x = 164,839,583,969.28
  5. Step 5: Solve for x
    x = 164,839,583,969.28/470,035.20
  6. Step 6: Final answer
    x = 350,696.25

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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.