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Finding the Fourth Proportional to 289,761,362.80, 434,663,039.40 and 174,497,714.80

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Solution

The fourth proportional to 289,761,362.80, 434,663,039.40 and 174,497,714.80 is: 261,759,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,761,362.80 : 434,663,039.40 = 174,497,714.80 : x
  2. Step 2: Convert to fraction form
    289,761,362.80/434,663,039.40 = 174,497,714.80/x
  3. Step 3: Cross multiply
    289,761,362.80x = 434,663,039.40 × 174,497,714.80
  4. Step 4: Simplify right side
    289,761,362.80x = 75,847,707,083,322,368
  5. Step 5: Solve for x
    x = 75,847,707,083,322,368/289,761,362.80
  6. Step 6: Final answer
    x = 261,759,215.76

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