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Finding the Fourth Proportional to 341,005.81, 470,599.38 and 185,965.59

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Solution

The fourth proportional to 341,005.81, 470,599.38 and 185,965.59 is: 256,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,005.81 : 470,599.38 = 185,965.59 : x
  2. Step 2: Convert to fraction form
    341,005.81/470,599.38 = 185,965.59/x
  3. Step 3: Cross multiply
    341,005.81x = 470,599.38 × 185,965.59
  4. Step 4: Simplify right side
    341,005.81x = 87,515,292,052.71
  5. Step 5: Solve for x
    x = 87,515,292,052.71/341,005.81
  6. Step 6: Final answer
    x = 256,638.71

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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.