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Finding the Fourth Proportional to 584,039.56, 805,986.32 and 329,341

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Solution

The fourth proportional to 584,039.56, 805,986.32 and 329,341 is: 454,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,039.56 : 805,986.32 = 329,341 : x
  2. Step 2: Convert to fraction form
    584,039.56/805,986.32 = 329,341/x
  3. Step 3: Cross multiply
    584,039.56x = 805,986.32 × 329,341
  4. Step 4: Simplify right side
    584,039.56x = 265,444,340,615.12
  5. Step 5: Solve for x
    x = 265,444,340,615.12/584,039.56
  6. Step 6: Final answer
    x = 454,497.19

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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.