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Finding the Fourth Proportional to 560,072.69, 840,113.93 and 180,993.38

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Solution

The fourth proportional to 560,072.69, 840,113.93 and 180,993.38 is: 271,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,072.69 : 840,113.93 = 180,993.38 : x
  2. Step 2: Convert to fraction form
    560,072.69/840,113.93 = 180,993.38/x
  3. Step 3: Cross multiply
    560,072.69x = 840,113.93 × 180,993.38
  4. Step 4: Simplify right side
    560,072.69x = 152,055,054,670.25
  5. Step 5: Solve for x
    x = 152,055,054,670.25/560,072.69
  6. Step 6: Final answer
    x = 271,491.65

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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.