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Finding the Fourth Proportional to 650,223.20, 975,205.20 and 313,263.20

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Solution

The fourth proportional to 650,223.20, 975,205.20 and 313,263.20 is: 469,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,223.20 : 975,205.20 = 313,263.20 : x
  2. Step 2: Convert to fraction form
    650,223.20/975,205.20 = 313,263.20/x
  3. Step 3: Cross multiply
    650,223.20x = 975,205.20 × 313,263.20
  4. Step 4: Simplify right side
    650,223.20x = 305,495,901,608.64
  5. Step 5: Solve for x
    x = 305,495,901,608.64/650,223.20
  6. Step 6: Final answer
    x = 469,832.36

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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.