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Finding the Fourth Proportional to 563,874.65, 778,075.32 and 322,172.88

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Solution

The fourth proportional to 563,874.65, 778,075.32 and 322,172.88 is: 444,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,874.65 : 778,075.32 = 322,172.88 : x
  2. Step 2: Convert to fraction form
    563,874.65/778,075.32 = 322,172.88/x
  3. Step 3: Cross multiply
    563,874.65x = 778,075.32 × 322,172.88
  4. Step 4: Simplify right side
    563,874.65x = 250,674,764,991.69
  5. Step 5: Solve for x
    x = 250,674,764,991.69/563,874.65
  6. Step 6: Final answer
    x = 444,557.61

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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.