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Finding the Fourth Proportional to 410,807.70, 616,211.55 and 189,623.70

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Solution

The fourth proportional to 410,807.70, 616,211.55 and 189,623.70 is: 284,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,807.70 : 616,211.55 = 189,623.70 : x
  2. Step 2: Convert to fraction form
    410,807.70/616,211.55 = 189,623.70/x
  3. Step 3: Cross multiply
    410,807.70x = 616,211.55 × 189,623.70
  4. Step 4: Simplify right side
    410,807.70x = 116,848,314,093.74
  5. Step 5: Solve for x
    x = 116,848,314,093.74/410,807.70
  6. Step 6: Final answer
    x = 284,435.55

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1.5x scale

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.