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Finding the Fourth Proportional to 340,763.34, 470,256.60 and 187,807.14

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Solution

The fourth proportional to 340,763.34, 470,256.60 and 187,807.14 is: 259,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,763.34 : 470,256.60 = 187,807.14 : x
  2. Step 2: Convert to fraction form
    340,763.34/470,256.60 = 187,807.14/x
  3. Step 3: Cross multiply
    340,763.34x = 470,256.60 × 187,807.14
  4. Step 4: Simplify right side
    340,763.34x = 88,317,547,112.12
  5. Step 5: Solve for x
    x = 88,317,547,112.12/340,763.34
  6. Step 6: Final answer
    x = 259,175.61

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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.