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Finding the Fourth Proportional to 354,289.64, 531,741.48 and 185,928.92

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Solution

The fourth proportional to 354,289.64, 531,741.48 and 185,928.92 is: 279,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,289.64 : 531,741.48 = 185,928.92 : x
  2. Step 2: Convert to fraction form
    354,289.64/531,741.48 = 185,928.92/x
  3. Step 3: Cross multiply
    354,289.64x = 531,741.48 × 185,928.92
  4. Step 4: Simplify right side
    354,289.64x = 98,866,119,095.60
  5. Step 5: Solve for x
    x = 98,866,119,095.60/354,289.64
  6. Step 6: Final answer
    x = 279,054.50

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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.