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Finding the Fourth Proportional to 333,128.16, 459,728.76 and 189,865.08

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Solution

The fourth proportional to 333,128.16, 459,728.76 and 189,865.08 is: 262,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,128.16 : 459,728.76 = 189,865.08 : x
  2. Step 2: Convert to fraction form
    333,128.16/459,728.76 = 189,865.08/x
  3. Step 3: Cross multiply
    333,128.16x = 459,728.76 × 189,865.08
  4. Step 4: Simplify right side
    333,128.16x = 87,286,437,795.70
  5. Step 5: Solve for x
    x = 87,286,437,795.70/333,128.16
  6. Step 6: Final answer
    x = 262,020.59

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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.