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Finding the Fourth Proportional to 600,106.84, 828,355.98 and 345,559.48

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Solution

The fourth proportional to 600,106.84, 828,355.98 and 345,559.48 is: 476,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,106.84 : 828,355.98 = 345,559.48 : x
  2. Step 2: Convert to fraction form
    600,106.84/828,355.98 = 345,559.48/x
  3. Step 3: Cross multiply
    600,106.84x = 828,355.98 × 345,559.48
  4. Step 4: Simplify right side
    600,106.84x = 286,246,261,703.69
  5. Step 5: Solve for x
    x = 286,246,261,703.69/600,106.84
  6. Step 6: Final answer
    x = 476,992.17

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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.