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Finding the Fourth Proportional to 365,460.62, 547,822.94 and 152,346.53

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Solution

The fourth proportional to 365,460.62, 547,822.94 and 152,346.53 is: 228,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,460.62 : 547,822.94 = 152,346.53 : x
  2. Step 2: Convert to fraction form
    365,460.62/547,822.94 = 152,346.53/x
  3. Step 3: Cross multiply
    365,460.62x = 547,822.94 × 152,346.53
  4. Step 4: Simplify right side
    365,460.62x = 83,458,924,571.22
  5. Step 5: Solve for x
    x = 83,458,924,571.22/365,460.62
  6. Step 6: Final answer
    x = 228,366.40

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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.