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Finding the Fourth Proportional to 654,137.60, 980,477.40 and 254,645.60

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Solution

The fourth proportional to 654,137.60, 980,477.40 and 254,645.60 is: 381,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,137.60 : 980,477.40 = 254,645.60 : x
  2. Step 2: Convert to fraction form
    654,137.60/980,477.40 = 254,645.60/x
  3. Step 3: Cross multiply
    654,137.60x = 980,477.40 × 254,645.60
  4. Step 4: Simplify right side
    654,137.60x = 249,674,255,809.44
  5. Step 5: Solve for x
    x = 249,674,255,809.44/654,137.60
  6. Step 6: Final answer
    x = 381,684.61

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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.