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Finding the Fourth Proportional to 519,097.40, 778,500.30 and 164,220.20

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Solution

The fourth proportional to 519,097.40, 778,500.30 and 164,220.20 is: 246,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,097.40 : 778,500.30 = 164,220.20 : x
  2. Step 2: Convert to fraction form
    519,097.40/778,500.30 = 164,220.20/x
  3. Step 3: Cross multiply
    519,097.40x = 778,500.30 × 164,220.20
  4. Step 4: Simplify right side
    519,097.40x = 127,845,474,966.06
  5. Step 5: Solve for x
    x = 127,845,474,966.06/519,097.40
  6. Step 6: Final answer
    x = 246,284.18

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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.