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Finding the Fourth Proportional to 475,741.92, 713,435.09 and 191,336.48

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Solution

The fourth proportional to 475,741.92, 713,435.09 and 191,336.48 is: 286,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,741.92 : 713,435.09 = 191,336.48 : x
  2. Step 2: Convert to fraction form
    475,741.92/713,435.09 = 191,336.48/x
  3. Step 3: Cross multiply
    475,741.92x = 713,435.09 × 191,336.48
  4. Step 4: Simplify right side
    475,741.92x = 136,506,158,056.88
  5. Step 5: Solve for x
    x = 136,506,158,056.88/475,741.92
  6. Step 6: Final answer
    x = 286,933.21

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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.