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Finding the Fourth Proportional to 422,541.84, 633,386.24 and 264,881.04

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Solution

The fourth proportional to 422,541.84, 633,386.24 and 264,881.04 is: 397,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,541.84 : 633,386.24 = 264,881.04 : x
  2. Step 2: Convert to fraction form
    422,541.84/633,386.24 = 264,881.04/x
  3. Step 3: Cross multiply
    422,541.84x = 633,386.24 × 264,881.04
  4. Step 4: Simplify right side
    422,541.84x = 167,772,005,972.89
  5. Step 5: Solve for x
    x = 167,772,005,972.89/422,541.84
  6. Step 6: Final answer
    x = 397,054.19

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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.