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Finding the Fourth Proportional to 517,041.95, 713,517.84 and 290,687.45

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Solution

The fourth proportional to 517,041.95, 713,517.84 and 290,687.45 is: 401,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,041.95 : 713,517.84 = 290,687.45 : x
  2. Step 2: Convert to fraction form
    517,041.95/713,517.84 = 290,687.45/x
  3. Step 3: Cross multiply
    517,041.95x = 713,517.84 × 290,687.45
  4. Step 4: Simplify right side
    517,041.95x = 207,410,677,871.52
  5. Step 5: Solve for x
    x = 207,410,677,871.52/517,041.95
  6. Step 6: Final answer
    x = 401,148.65

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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.