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Finding the Fourth Proportional to 538,854.69, 807,843.69 and 201,706.50

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Solution

The fourth proportional to 538,854.69, 807,843.69 and 201,706.50 is: 302,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,854.69 : 807,843.69 = 201,706.50 : x
  2. Step 2: Convert to fraction form
    538,854.69/807,843.69 = 201,706.50/x
  3. Step 3: Cross multiply
    538,854.69x = 807,843.69 × 201,706.50
  4. Step 4: Simplify right side
    538,854.69x = 162,947,323,256.99
  5. Step 5: Solve for x
    x = 162,947,323,256.99/538,854.69
  6. Step 6: Final answer
    x = 302,395.67

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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.