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Finding the Fourth Proportional to 409,848.37, 614,813.57 and 125,535.64

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Solution

The fourth proportional to 409,848.37, 614,813.57 and 125,535.64 is: 188,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,848.37 : 614,813.57 = 125,535.64 : x
  2. Step 2: Convert to fraction form
    409,848.37/614,813.57 = 125,535.64/x
  3. Step 3: Cross multiply
    409,848.37x = 614,813.57 × 125,535.64
  4. Step 4: Simplify right side
    409,848.37x = 77,181,011,288.89
  5. Step 5: Solve for x
    x = 77,181,011,288.89/409,848.37
  6. Step 6: Final answer
    x = 188,316.02

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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.