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Finding the Fourth Proportional to 380,849.69, 525,363.91 and 242,772.23

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Solution

The fourth proportional to 380,849.69, 525,363.91 and 242,772.23 is: 334,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,849.69 : 525,363.91 = 242,772.23 : x
  2. Step 2: Convert to fraction form
    380,849.69/525,363.91 = 242,772.23/x
  3. Step 3: Cross multiply
    380,849.69x = 525,363.91 × 242,772.23
  4. Step 4: Simplify right side
    380,849.69x = 127,543,768,698.70
  5. Step 5: Solve for x
    x = 127,543,768,698.70/380,849.69
  6. Step 6: Final answer
    x = 334,892.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.