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Finding the Fourth Proportional to 650,494.52, 975,180.43 and 313,070.93

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Solution

The fourth proportional to 650,494.52, 975,180.43 and 313,070.93 is: 469,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,494.52 : 975,180.43 = 313,070.93 : x
  2. Step 2: Convert to fraction form
    650,494.52/975,180.43 = 313,070.93/x
  3. Step 3: Cross multiply
    650,494.52x = 975,180.43 × 313,070.93
  4. Step 4: Simplify right side
    650,494.52x = 305,300,644,137.90
  5. Step 5: Solve for x
    x = 305,300,644,137.90/650,494.52
  6. Step 6: Final answer
    x = 469,336.23

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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.