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Finding the Fourth Proportional to 416,184.84, 574,123.41 and 252,797.85

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Solution

The fourth proportional to 416,184.84, 574,123.41 and 252,797.85 is: 348,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,184.84 : 574,123.41 = 252,797.85 : x
  2. Step 2: Convert to fraction form
    416,184.84/574,123.41 = 252,797.85/x
  3. Step 3: Cross multiply
    416,184.84x = 574,123.41 × 252,797.85
  4. Step 4: Simplify right side
    416,184.84x = 145,137,163,682.67
  5. Step 5: Solve for x
    x = 145,137,163,682.67/416,184.84
  6. Step 6: Final answer
    x = 348,732.46

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1.5x scale

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.