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Finding the Fourth Proportional to 341,239.47, 470,909.06 and 188,287.17

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Solution

The fourth proportional to 341,239.47, 470,909.06 and 188,287.17 is: 259,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,239.47 : 470,909.06 = 188,287.17 : x
  2. Step 2: Convert to fraction form
    341,239.47/470,909.06 = 188,287.17/x
  3. Step 3: Cross multiply
    341,239.47x = 470,909.06 × 188,287.17
  4. Step 4: Simplify right side
    341,239.47x = 88,666,132,233.49
  5. Step 5: Solve for x
    x = 88,666,132,233.49/341,239.47
  6. Step 6: Final answer
    x = 259,835.51

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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.