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Finding the Fourth Proportional to 460,096.88, 690,208.19 and 160,533.46

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Solution

The fourth proportional to 460,096.88, 690,208.19 and 160,533.46 is: 240,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,096.88 : 690,208.19 = 160,533.46 : x
  2. Step 2: Convert to fraction form
    460,096.88/690,208.19 = 160,533.46/x
  3. Step 3: Cross multiply
    460,096.88x = 690,208.19 × 160,533.46
  4. Step 4: Simplify right side
    460,096.88x = 110,801,509,523.13
  5. Step 5: Solve for x
    x = 110,801,509,523.13/460,096.88
  6. Step 6: Final answer
    x = 240,822.13

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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.