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Finding the Fourth Proportional to 602,364.87, 831,288.02 and 360,599.31

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Solution

The fourth proportional to 602,364.87, 831,288.02 and 360,599.31 is: 497,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,364.87 : 831,288.02 = 360,599.31 : x
  2. Step 2: Convert to fraction form
    602,364.87/831,288.02 = 360,599.31/x
  3. Step 3: Cross multiply
    602,364.87x = 831,288.02 × 360,599.31
  4. Step 4: Simplify right side
    602,364.87x = 299,761,884,620.27
  5. Step 5: Solve for x
    x = 299,761,884,620.27/602,364.87
  6. Step 6: Final answer
    x = 497,641.71

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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.