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Finding the Fourth Proportional to 451,362.24, 677,484 and 214,868.16

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Solution

The fourth proportional to 451,362.24, 677,484 and 214,868.16 is: 322,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,362.24 : 677,484 = 214,868.16 : x
  2. Step 2: Convert to fraction form
    451,362.24/677,484 = 214,868.16/x
  3. Step 3: Cross multiply
    451,362.24x = 677,484 × 214,868.16
  4. Step 4: Simplify right side
    451,362.24x = 145,569,740,509.44
  5. Step 5: Solve for x
    x = 145,569,740,509.44/451,362.24
  6. Step 6: Final answer
    x = 322,512.00

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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.