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Finding the Fourth Proportional to 556,314.64, 834,537.12 and 177,102.56

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Solution

The fourth proportional to 556,314.64, 834,537.12 and 177,102.56 is: 265,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,314.64 : 834,537.12 = 177,102.56 : x
  2. Step 2: Convert to fraction form
    556,314.64/834,537.12 = 177,102.56/x
  3. Step 3: Cross multiply
    556,314.64x = 834,537.12 × 177,102.56
  4. Step 4: Simplify right side
    556,314.64x = 147,798,660,367.03
  5. Step 5: Solve for x
    x = 147,798,660,367.03/556,314.64
  6. Step 6: Final answer
    x = 265,674.58

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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.