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Finding the Fourth Proportional to 611,354, 843,746.28 and 343,082

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Solution

The fourth proportional to 611,354, 843,746.28 and 343,082 is: 473,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,354 : 843,746.28 = 343,082 : x
  2. Step 2: Convert to fraction form
    611,354/843,746.28 = 343,082/x
  3. Step 3: Cross multiply
    611,354x = 843,746.28 × 343,082
  4. Step 4: Simplify right side
    611,354x = 289,474,161,234.96
  5. Step 5: Solve for x
    x = 289,474,161,234.96/611,354
  6. Step 6: Final answer
    x = 473,496.80

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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.