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Finding the Fourth Proportional to 582,385.84, 803,725.66 and 349,883.90

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Solution

The fourth proportional to 582,385.84, 803,725.66 and 349,883.90 is: 482,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,385.84 : 803,725.66 = 349,883.90 : x
  2. Step 2: Convert to fraction form
    582,385.84/803,725.66 = 349,883.90/x
  3. Step 3: Cross multiply
    582,385.84x = 803,725.66 × 349,883.90
  4. Step 4: Simplify right side
    582,385.84x = 281,210,669,738.49
  5. Step 5: Solve for x
    x = 281,210,669,738.49/582,385.84
  6. Step 6: Final answer
    x = 482,859.73

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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.