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Finding the Fourth Proportional to 559,361.57, 771,861.06 and 314,307.41

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Solution

The fourth proportional to 559,361.57, 771,861.06 and 314,307.41 is: 433,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,361.57 : 771,861.06 = 314,307.41 : x
  2. Step 2: Convert to fraction form
    559,361.57/771,861.06 = 314,307.41/x
  3. Step 3: Cross multiply
    559,361.57x = 771,861.06 × 314,307.41
  4. Step 4: Simplify right side
    559,361.57x = 242,601,646,789.15
  5. Step 5: Solve for x
    x = 242,601,646,789.15/559,361.57
  6. Step 6: Final answer
    x = 433,711.68

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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.