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Finding the Fourth Proportional to 519,313, 778,969.50 and 125,329

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Solution

The fourth proportional to 519,313, 778,969.50 and 125,329 is: 187,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,313 : 778,969.50 = 125,329 : x
  2. Step 2: Convert to fraction form
    519,313/778,969.50 = 125,329/x
  3. Step 3: Cross multiply
    519,313x = 778,969.50 × 125,329
  4. Step 4: Simplify right side
    519,313x = 97,627,468,465.50
  5. Step 5: Solve for x
    x = 97,627,468,465.50/519,313
  6. Step 6: Final answer
    x = 187,993.50

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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.