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Finding the Fourth Proportional to 434,381.94, 599,091.66 and 305,746.25

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Solution

The fourth proportional to 434,381.94, 599,091.66 and 305,746.25 is: 421,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,381.94 : 599,091.66 = 305,746.25 : x
  2. Step 2: Convert to fraction form
    434,381.94/599,091.66 = 305,746.25/x
  3. Step 3: Cross multiply
    434,381.94x = 599,091.66 × 305,746.25
  4. Step 4: Simplify right side
    434,381.94x = 183,170,025,455.82
  5. Step 5: Solve for x
    x = 183,170,025,455.82/434,381.94
  6. Step 6: Final answer
    x = 421,679.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.