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Finding the Fourth Proportional to 582,007.35, 873,142.38 and 177,235.77

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Solution

The fourth proportional to 582,007.35, 873,142.38 and 177,235.77 is: 265,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,007.35 : 873,142.38 = 177,235.77 : x
  2. Step 2: Convert to fraction form
    582,007.35/873,142.38 = 177,235.77/x
  3. Step 3: Cross multiply
    582,007.35x = 873,142.38 × 177,235.77
  4. Step 4: Simplify right side
    582,007.35x = 154,752,062,038.93
  5. Step 5: Solve for x
    x = 154,752,062,038.93/582,007.35
  6. Step 6: Final answer
    x = 265,893.66

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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.