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Finding the Fourth Proportional to 424,712.01, 586,102.66 and 233,725.40

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Solution

The fourth proportional to 424,712.01, 586,102.66 and 233,725.40 is: 322,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,712.01 : 586,102.66 = 233,725.40 : x
  2. Step 2: Convert to fraction form
    424,712.01/586,102.66 = 233,725.40/x
  3. Step 3: Cross multiply
    424,712.01x = 586,102.66 × 233,725.40
  4. Step 4: Simplify right side
    424,712.01x = 136,987,078,649.56
  5. Step 5: Solve for x
    x = 136,987,078,649.56/424,712.01
  6. Step 6: Final answer
    x = 322,541.10

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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.