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Finding the Fourth Proportional to 377,082.84, 520,361.02 and 207,315.66

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Solution

The fourth proportional to 377,082.84, 520,361.02 and 207,315.66 is: 286,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082.84 : 520,361.02 = 207,315.66 : x
  2. Step 2: Convert to fraction form
    377,082.84/520,361.02 = 207,315.66/x
  3. Step 3: Cross multiply
    377,082.84x = 520,361.02 × 207,315.66
  4. Step 4: Simplify right side
    377,082.84x = 107,878,988,299.57
  5. Step 5: Solve for x
    x = 107,878,988,299.57/377,082.84
  6. Step 6: Final answer
    x = 286,088.30

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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.