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Finding the Fourth Proportional to 340,833, 470,352.82 and 187,877.08

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Solution

The fourth proportional to 340,833, 470,352.82 and 187,877.08 is: 259,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,833 : 470,352.82 = 187,877.08 : x
  2. Step 2: Convert to fraction form
    340,833/470,352.82 = 187,877.08/x
  3. Step 3: Cross multiply
    340,833x = 470,352.82 × 187,877.08
  4. Step 4: Simplify right side
    340,833x = 88,368,514,391.37
  5. Step 5: Solve for x
    x = 88,368,514,391.37/340,833
  6. Step 6: Final answer
    x = 259,272.18

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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.