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Finding the Fourth Proportional to 519,056.22, 778,517 and 164,106.06

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Solution

The fourth proportional to 519,056.22, 778,517 and 164,106.06 is: 246,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,056.22 : 778,517 = 164,106.06 : x
  2. Step 2: Convert to fraction form
    519,056.22/778,517 = 164,106.06/x
  3. Step 3: Cross multiply
    519,056.22x = 778,517 × 164,106.06
  4. Step 4: Simplify right side
    519,056.22x = 127,759,357,513.02
  5. Step 5: Solve for x
    x = 127,759,357,513.02/519,056.22
  6. Step 6: Final answer
    x = 246,137.80

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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.