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Finding the Fourth Proportional to 340,587.36, 470,010.24 and 189,684

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Solution

The fourth proportional to 340,587.36, 470,010.24 and 189,684 is: 261,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,587.36 : 470,010.24 = 189,684 : x
  2. Step 2: Convert to fraction form
    340,587.36/470,010.24 = 189,684/x
  3. Step 3: Cross multiply
    340,587.36x = 470,010.24 × 189,684
  4. Step 4: Simplify right side
    340,587.36x = 89,153,422,364.16
  5. Step 5: Solve for x
    x = 89,153,422,364.16/340,587.36
  6. Step 6: Final answer
    x = 261,763.74

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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.