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Finding the Fourth Proportional to 565,809.06, 780,826.02 and 324,112.77

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Solution

The fourth proportional to 565,809.06, 780,826.02 and 324,112.77 is: 447,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,809.06 : 780,826.02 = 324,112.77 : x
  2. Step 2: Convert to fraction form
    565,809.06/780,826.02 = 324,112.77/x
  3. Step 3: Cross multiply
    565,809.06x = 780,826.02 × 324,112.77
  4. Step 4: Simplify right side
    565,809.06x = 253,075,684,230.28
  5. Step 5: Solve for x
    x = 253,075,684,230.28/565,809.06
  6. Step 6: Final answer
    x = 447,281.07

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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.