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Finding the Fourth Proportional to 293,509.27, 405,858.11 and 232,974.81

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Solution

The fourth proportional to 293,509.27, 405,858.11 and 232,974.81 is: 322,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,509.27 : 405,858.11 = 232,974.81 : x
  2. Step 2: Convert to fraction form
    293,509.27/405,858.11 = 232,974.81/x
  3. Step 3: Cross multiply
    293,509.27x = 405,858.11 × 232,974.81
  4. Step 4: Simplify right side
    293,509.27x = 94,554,717,661.29
  5. Step 5: Solve for x
    x = 94,554,717,661.29/293,509.27
  6. Step 6: Final answer
    x = 322,152.41

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1.5x scale

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.