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Finding the Fourth Proportional to 421,813.53, 582,102.72 and 230,826.93

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Solution

The fourth proportional to 421,813.53, 582,102.72 and 230,826.93 is: 318,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,813.53 : 582,102.72 = 230,826.93 : x
  2. Step 2: Convert to fraction form
    421,813.53/582,102.72 = 230,826.93/x
  3. Step 3: Cross multiply
    421,813.53x = 582,102.72 × 230,826.93
  4. Step 4: Simplify right side
    421,813.53x = 134,364,983,802.25
  5. Step 5: Solve for x
    x = 134,364,983,802.25/421,813.53
  6. Step 6: Final answer
    x = 318,541.19

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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.