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Finding the Fourth Proportional to 419,431.41, 578,631.11 and 283,415.67

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Solution

The fourth proportional to 419,431.41, 578,631.11 and 283,415.67 is: 390,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,431.41 : 578,631.11 = 283,415.67 : x
  2. Step 2: Convert to fraction form
    419,431.41/578,631.11 = 283,415.67/x
  3. Step 3: Cross multiply
    419,431.41x = 578,631.11 × 283,415.67
  4. Step 4: Simplify right side
    419,431.41x = 163,993,122,306.42
  5. Step 5: Solve for x
    x = 163,993,122,306.42/419,431.41
  6. Step 6: Final answer
    x = 390,989.13

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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.