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Finding the Fourth Proportional to 567,271.46, 782,851.02 and 312,639.06

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Solution

The fourth proportional to 567,271.46, 782,851.02 and 312,639.06 is: 431,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,271.46 : 782,851.02 = 312,639.06 : x
  2. Step 2: Convert to fraction form
    567,271.46/782,851.02 = 312,639.06/x
  3. Step 3: Cross multiply
    567,271.46x = 782,851.02 × 312,639.06
  4. Step 4: Simplify right side
    567,271.46x = 244,749,807,012.84
  5. Step 5: Solve for x
    x = 244,749,807,012.84/567,271.46
  6. Step 6: Final answer
    x = 431,450.94

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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.