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Finding the Fourth Proportional to 462,994.06, 697,961.31 and 432,131.74

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Solution

The fourth proportional to 462,994.06, 697,961.31 and 432,131.74 is: 651,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,994.06 : 697,961.31 = 432,131.74 : x
  2. Step 2: Convert to fraction form
    462,994.06/697,961.31 = 432,131.74/x
  3. Step 3: Cross multiply
    462,994.06x = 697,961.31 × 432,131.74
  4. Step 4: Simplify right side
    462,994.06x = 301,611,235,342.98
  5. Step 5: Solve for x
    x = 301,611,235,342.98/462,994.06
  6. Step 6: Final answer
    x = 651,436.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.