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Finding the Fourth Proportional to 293,509.84, 405,055.19 and 164,449.43

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Solution

The fourth proportional to 293,509.84, 405,055.19 and 164,449.43 is: 226,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,509.84 : 405,055.19 = 164,449.43 : x
  2. Step 2: Convert to fraction form
    293,509.84/405,055.19 = 164,449.43/x
  3. Step 3: Cross multiply
    293,509.84x = 405,055.19 × 164,449.43
  4. Step 4: Simplify right side
    293,509.84x = 66,611,095,114.04
  5. Step 5: Solve for x
    x = 66,611,095,114.04/293,509.84
  6. Step 6: Final answer
    x = 226,946.72

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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.