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Finding the Fourth Proportional to 416,091.32, 623,762.32 and 149,664.56

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Solution

The fourth proportional to 416,091.32, 623,762.32 and 149,664.56 is: 224,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,091.32 : 623,762.32 = 149,664.56 : x
  2. Step 2: Convert to fraction form
    416,091.32/623,762.32 = 149,664.56/x
  3. Step 3: Cross multiply
    416,091.32x = 623,762.32 × 149,664.56
  4. Step 4: Simplify right side
    416,091.32x = 93,355,113,167.38
  5. Step 5: Solve for x
    x = 93,355,113,167.38/416,091.32
  6. Step 6: Final answer
    x = 224,362.08

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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.