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Finding the Fourth Proportional to 333,097.32, 459,662.76 and 189,903.48

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Solution

The fourth proportional to 333,097.32, 459,662.76 and 189,903.48 is: 262,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,097.32 : 459,662.76 = 189,903.48 : x
  2. Step 2: Convert to fraction form
    333,097.32/459,662.76 = 189,903.48/x
  3. Step 3: Cross multiply
    333,097.32x = 459,662.76 × 189,903.48
  4. Step 4: Simplify right side
    333,097.32x = 87,291,557,750.40
  5. Step 5: Solve for x
    x = 87,291,557,750.40/333,097.32
  6. Step 6: Final answer
    x = 262,060.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.