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Finding the Fourth Proportional to 341,021.66, 470,637.91 and 188,089.76

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Solution

The fourth proportional to 341,021.66, 470,637.91 and 188,089.76 is: 259,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,021.66 : 470,637.91 = 188,089.76 : x
  2. Step 2: Convert to fraction form
    341,021.66/470,637.91 = 188,089.76/x
  3. Step 3: Cross multiply
    341,021.66x = 470,637.91 × 188,089.76
  4. Step 4: Simplify right side
    341,021.66x = 88,522,172,950.51
  5. Step 5: Solve for x
    x = 88,522,172,950.51/341,021.66
  6. Step 6: Final answer
    x = 259,579.33

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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.