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Finding the Fourth Proportional to 431,954.24, 596,113.22 and 241,004.84

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Solution

The fourth proportional to 431,954.24, 596,113.22 and 241,004.84 is: 332,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,954.24 : 596,113.22 = 241,004.84 : x
  2. Step 2: Convert to fraction form
    431,954.24/596,113.22 = 241,004.84/x
  3. Step 3: Cross multiply
    431,954.24x = 596,113.22 × 241,004.84
  4. Step 4: Simplify right side
    431,954.24x = 143,666,168,829.93
  5. Step 5: Solve for x
    x = 143,666,168,829.93/431,954.24
  6. Step 6: Final answer
    x = 332,595.81

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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.