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Finding the Fourth Proportional to 556,814.64, 834,813 and 177,517.20

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Solution

The fourth proportional to 556,814.64, 834,813 and 177,517.20 is: 266,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,814.64 : 834,813 = 177,517.20 : x
  2. Step 2: Convert to fraction form
    556,814.64/834,813 = 177,517.20/x
  3. Step 3: Cross multiply
    556,814.64x = 834,813 × 177,517.20
  4. Step 4: Simplify right side
    556,814.64x = 148,193,666,283.60
  5. Step 5: Solve for x
    x = 148,193,666,283.60/556,814.64
  6. Step 6: Final answer
    x = 266,145.42

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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.