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Finding the Fourth Proportional to 346,536.96, 519,970.68 and 188,761.92

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Solution

The fourth proportional to 346,536.96, 519,970.68 and 188,761.92 is: 283,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,536.96 : 519,970.68 = 188,761.92 : x
  2. Step 2: Convert to fraction form
    346,536.96/519,970.68 = 188,761.92/x
  3. Step 3: Cross multiply
    346,536.96x = 519,970.68 × 188,761.92
  4. Step 4: Simplify right side
    346,536.96x = 98,150,663,900.51
  5. Step 5: Solve for x
    x = 98,150,663,900.51/346,536.96
  6. Step 6: Final answer
    x = 283,232.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.