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Finding the Fourth Proportional to 486,000.40, 729,000.60 and 334,441.30

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Solution

The fourth proportional to 486,000.40, 729,000.60 and 334,441.30 is: 501,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,000.40 : 729,000.60 = 334,441.30 : x
  2. Step 2: Convert to fraction form
    486,000.40/729,000.60 = 334,441.30/x
  3. Step 3: Cross multiply
    486,000.40x = 729,000.60 × 334,441.30
  4. Step 4: Simplify right side
    486,000.40x = 243,807,908,364.78
  5. Step 5: Solve for x
    x = 243,807,908,364.78/486,000.40
  6. Step 6: Final answer
    x = 501,661.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.