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Finding the Fourth Proportional to 582,403.88, 872,486.04 and 357,107.24

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Solution

The fourth proportional to 582,403.88, 872,486.04 and 357,107.24 is: 534,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,403.88 : 872,486.04 = 357,107.24 : x
  2. Step 2: Convert to fraction form
    582,403.88/872,486.04 = 357,107.24/x
  3. Step 3: Cross multiply
    582,403.88x = 872,486.04 × 357,107.24
  4. Step 4: Simplify right side
    582,403.88x = 311,571,081,682.93
  5. Step 5: Solve for x
    x = 311,571,081,682.93/582,403.88
  6. Step 6: Final answer
    x = 534,974.25

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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.