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Finding the Fourth Proportional to 601,857.82, 830,558.55 and 329,940.82

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Solution

The fourth proportional to 601,857.82, 830,558.55 and 329,940.82 is: 455,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,857.82 : 830,558.55 = 329,940.82 : x
  2. Step 2: Convert to fraction form
    601,857.82/830,558.55 = 329,940.82/x
  3. Step 3: Cross multiply
    601,857.82x = 830,558.55 × 329,940.82
  4. Step 4: Simplify right side
    601,857.82x = 274,035,169,045.01
  5. Step 5: Solve for x
    x = 274,035,169,045.01/601,857.82
  6. Step 6: Final answer
    x = 455,315.46

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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.