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Finding the Fourth Proportional to 582,203.87, 803,441.16 and 324,075.21

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Solution

The fourth proportional to 582,203.87, 803,441.16 and 324,075.21 is: 447,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,203.87 : 803,441.16 = 324,075.21 : x
  2. Step 2: Convert to fraction form
    582,203.87/803,441.16 = 324,075.21/x
  3. Step 3: Cross multiply
    582,203.87x = 803,441.16 × 324,075.21
  4. Step 4: Simplify right side
    582,203.87x = 260,375,359,636.74
  5. Step 5: Solve for x
    x = 260,375,359,636.74/582,203.87
  6. Step 6: Final answer
    x = 447,223.69

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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.