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Finding the Fourth Proportional to 556,735.64, 834,694.50 and 177,438.11

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Solution

The fourth proportional to 556,735.64, 834,694.50 and 177,438.11 is: 266,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,735.64 : 834,694.50 = 177,438.11 : x
  2. Step 2: Convert to fraction form
    556,735.64/834,694.50 = 177,438.11/x
  3. Step 3: Cross multiply
    556,735.64x = 834,694.50 × 177,438.11
  4. Step 4: Simplify right side
    556,735.64x = 148,106,614,507.40
  5. Step 5: Solve for x
    x = 148,106,614,507.40/556,735.64
  6. Step 6: Final answer
    x = 266,026.82

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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.