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Finding the Fourth Proportional to 519,086.36, 716,341.38 and 289,653.66

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Solution

The fourth proportional to 519,086.36, 716,341.38 and 289,653.66 is: 399,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,086.36 : 716,341.38 = 289,653.66 : x
  2. Step 2: Convert to fraction form
    519,086.36/716,341.38 = 289,653.66/x
  3. Step 3: Cross multiply
    519,086.36x = 716,341.38 × 289,653.66
  4. Step 4: Simplify right side
    519,086.36x = 207,490,902,526.45
  5. Step 5: Solve for x
    x = 207,490,902,526.45/519,086.36
  6. Step 6: Final answer
    x = 399,723.28

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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.