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Finding the Fourth Proportional to 402,706.56, 602,745.12 and 296,062.36

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Solution

The fourth proportional to 402,706.56, 602,745.12 and 296,062.36 is: 443,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706.56 : 602,745.12 = 296,062.36 : x
  2. Step 2: Convert to fraction form
    402,706.56/602,745.12 = 296,062.36/x
  3. Step 3: Cross multiply
    402,706.56x = 602,745.12 × 296,062.36
  4. Step 4: Simplify right side
    402,706.56x = 178,450,142,705.68
  5. Step 5: Solve for x
    x = 178,450,142,705.68/402,706.56
  6. Step 6: Final answer
    x = 443,126.98

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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.