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Finding the Fourth Proportional to 305,467.84, 458,263.20 and 105,783.80

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Solution

The fourth proportional to 305,467.84, 458,263.20 and 105,783.80 is: 158,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,467.84 : 458,263.20 = 105,783.80 : x
  2. Step 2: Convert to fraction form
    305,467.84/458,263.20 = 105,783.80/x
  3. Step 3: Cross multiply
    305,467.84x = 458,263.20 × 105,783.80
  4. Step 4: Simplify right side
    305,467.84x = 48,476,822,696.16
  5. Step 5: Solve for x
    x = 48,476,822,696.16/305,467.84
  6. Step 6: Final answer
    x = 158,696.98

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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.