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Finding the Fourth Proportional to 254,022.72, 380,956.29 and 175,640.64

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Solution

The fourth proportional to 254,022.72, 380,956.29 and 175,640.64 is: 263,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022.72 : 380,956.29 = 175,640.64 : x
  2. Step 2: Convert to fraction form
    254,022.72/380,956.29 = 175,640.64/x
  3. Step 3: Cross multiply
    254,022.72x = 380,956.29 × 175,640.64
  4. Step 4: Simplify right side
    254,022.72x = 66,911,406,587.63
  5. Step 5: Solve for x
    x = 66,911,406,587.63/254,022.72
  6. Step 6: Final answer
    x = 263,407.17

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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.