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Finding the Fourth Proportional to 365,463.36, 548,056.80 and 155,200.32

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Solution

The fourth proportional to 365,463.36, 548,056.80 and 155,200.32 is: 232,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,463.36 : 548,056.80 = 155,200.32 : x
  2. Step 2: Convert to fraction form
    365,463.36/548,056.80 = 155,200.32/x
  3. Step 3: Cross multiply
    365,463.36x = 548,056.80 × 155,200.32
  4. Step 4: Simplify right side
    365,463.36x = 85,058,590,738.18
  5. Step 5: Solve for x
    x = 85,058,590,738.18/365,463.36
  6. Step 6: Final answer
    x = 232,741.77

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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.