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Finding the Fourth Proportional to 519,226.21, 716,532.83 and 289,783.50

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Solution

The fourth proportional to 519,226.21, 716,532.83 and 289,783.50 is: 399,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,226.21 : 716,532.83 = 289,783.50 : x
  2. Step 2: Convert to fraction form
    519,226.21/716,532.83 = 289,783.50/x
  3. Step 3: Cross multiply
    519,226.21x = 716,532.83 × 289,783.50
  4. Step 4: Simplify right side
    519,226.21x = 207,639,391,342.31
  5. Step 5: Solve for x
    x = 207,639,391,342.31/519,226.21
  6. Step 6: Final answer
    x = 399,901.60

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Why These Related Problems?

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