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Finding the Fourth Proportional to 333,051.12, 459,618.42 and 189,824.48

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Solution

The fourth proportional to 333,051.12, 459,618.42 and 189,824.48 is: 261,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,051.12 : 459,618.42 = 189,824.48 : x
  2. Step 2: Convert to fraction form
    333,051.12/459,618.42 = 189,824.48/x
  3. Step 3: Cross multiply
    333,051.12x = 459,618.42 × 189,824.48
  4. Step 4: Simplify right side
    333,051.12x = 87,246,827,574.92
  5. Step 5: Solve for x
    x = 87,246,827,574.92/333,051.12
  6. Step 6: Final answer
    x = 261,962.27

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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.