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Finding the Fourth Proportional to 463,106.40, 694,270.80 and 241,490.40

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Solution

The fourth proportional to 463,106.40, 694,270.80 and 241,490.40 is: 362,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,106.40 : 694,270.80 = 241,490.40 : x
  2. Step 2: Convert to fraction form
    463,106.40/694,270.80 = 241,490.40/x
  3. Step 3: Cross multiply
    463,106.40x = 694,270.80 × 241,490.40
  4. Step 4: Simplify right side
    463,106.40x = 167,659,733,200.32
  5. Step 5: Solve for x
    x = 167,659,733,200.32/463,106.40
  6. Step 6: Final answer
    x = 362,032.86

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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.