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Finding the Fourth Proportional to 424,025.28, 585,141.84 and 233,038.08

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Solution

The fourth proportional to 424,025.28, 585,141.84 and 233,038.08 is: 321,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,025.28 : 585,141.84 = 233,038.08 : x
  2. Step 2: Convert to fraction form
    424,025.28/585,141.84 = 233,038.08/x
  3. Step 3: Cross multiply
    424,025.28x = 585,141.84 × 233,038.08
  4. Step 4: Simplify right side
    424,025.28x = 136,360,330,921.27
  5. Step 5: Solve for x
    x = 136,360,330,921.27/424,025.28
  6. Step 6: Final answer
    x = 321,585.38

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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.