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Finding the Fourth Proportional to 329,704.40, 493,973.40 and 283,048.40

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Solution

The fourth proportional to 329,704.40, 493,973.40 and 283,048.40 is: 424,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,704.40 : 493,973.40 = 283,048.40 : x
  2. Step 2: Convert to fraction form
    329,704.40/493,973.40 = 283,048.40/x
  3. Step 3: Cross multiply
    329,704.40x = 493,973.40 × 283,048.40
  4. Step 4: Simplify right side
    329,704.40x = 139,818,380,512.56
  5. Step 5: Solve for x
    x = 139,818,380,512.56/329,704.40
  6. Step 6: Final answer
    x = 424,071.93

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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.