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Finding the Fourth Proportional to 562,474.98, 776,205.10 and 307,821.06

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Solution

The fourth proportional to 562,474.98, 776,205.10 and 307,821.06 is: 424,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,474.98 : 776,205.10 = 307,821.06 : x
  2. Step 2: Convert to fraction form
    562,474.98/776,205.10 = 307,821.06/x
  3. Step 3: Cross multiply
    562,474.98x = 776,205.10 × 307,821.06
  4. Step 4: Simplify right side
    562,474.98x = 238,932,276,659.41
  5. Step 5: Solve for x
    x = 238,932,276,659.41/562,474.98
  6. Step 6: Final answer
    x = 424,787.39

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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.