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Finding the Fourth Proportional to 519,106.10, 716,346.30 and 289,651.46

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Solution

The fourth proportional to 519,106.10, 716,346.30 and 289,651.46 is: 399,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,106.10 : 716,346.30 = 289,651.46 : x
  2. Step 2: Convert to fraction form
    519,106.10/716,346.30 = 289,651.46/x
  3. Step 3: Cross multiply
    519,106.10x = 716,346.30 × 289,651.46
  4. Step 4: Simplify right side
    519,106.10x = 207,490,751,660.60
  5. Step 5: Solve for x
    x = 207,490,751,660.60/519,106.10
  6. Step 6: Final answer
    x = 399,707.79

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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.