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Finding the Fourth Proportional to 517,585.68, 776,969.28 and 346,934.34

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Solution

The fourth proportional to 517,585.68, 776,969.28 and 346,934.34 is: 520,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,585.68 : 776,969.28 = 346,934.34 : x
  2. Step 2: Convert to fraction form
    517,585.68/776,969.28 = 346,934.34/x
  3. Step 3: Cross multiply
    517,585.68x = 776,969.28 × 346,934.34
  4. Step 4: Simplify right side
    517,585.68x = 269,557,324,357.08
  5. Step 5: Solve for x
    x = 269,557,324,357.08/517,585.68
  6. Step 6: Final answer
    x = 520,797.49

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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.