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Finding the Fourth Proportional to 586,362.42, 809,215.92 and 328,234.32

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Solution

The fourth proportional to 586,362.42, 809,215.92 and 328,234.32 is: 452,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,362.42 : 809,215.92 = 328,234.32 : x
  2. Step 2: Convert to fraction form
    586,362.42/809,215.92 = 328,234.32/x
  3. Step 3: Cross multiply
    586,362.42x = 809,215.92 × 328,234.32
  4. Step 4: Simplify right side
    586,362.42x = 265,612,437,234.37
  5. Step 5: Solve for x
    x = 265,612,437,234.37/586,362.42
  6. Step 6: Final answer
    x = 452,983.39

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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.