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Finding the Fourth Proportional to 556,047.70, 834,169.93 and 209,823.73

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Solution

The fourth proportional to 556,047.70, 834,169.93 and 209,823.73 is: 314,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,047.70 : 834,169.93 = 209,823.73 : x
  2. Step 2: Convert to fraction form
    556,047.70/834,169.93 = 209,823.73/x
  3. Step 3: Cross multiply
    556,047.70x = 834,169.93 × 209,823.73
  4. Step 4: Simplify right side
    556,047.70x = 175,028,643,556.46
  5. Step 5: Solve for x
    x = 175,028,643,556.46/556,047.70
  6. Step 6: Final answer
    x = 314,772.72

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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.