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Finding the Fourth Proportional to 586,696.32, 809,641.44 and 318,424.32

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Solution

The fourth proportional to 586,696.32, 809,641.44 and 318,424.32 is: 439,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,696.32 : 809,641.44 = 318,424.32 : x
  2. Step 2: Convert to fraction form
    586,696.32/809,641.44 = 318,424.32/x
  3. Step 3: Cross multiply
    586,696.32x = 809,641.44 × 318,424.32
  4. Step 4: Simplify right side
    586,696.32x = 257,809,524,975.82
  5. Step 5: Solve for x
    x = 257,809,524,975.82/586,696.32
  6. Step 6: Final answer
    x = 439,425.84

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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.