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Finding the Fourth Proportional to 528,043.75, 728,826.42 and 313,308.43

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Solution

The fourth proportional to 528,043.75, 728,826.42 and 313,308.43 is: 432,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,043.75 : 728,826.42 = 313,308.43 : x
  2. Step 2: Convert to fraction form
    528,043.75/728,826.42 = 313,308.43/x
  3. Step 3: Cross multiply
    528,043.75x = 728,826.42 × 313,308.43
  4. Step 4: Simplify right side
    528,043.75x = 228,347,461,392.72
  5. Step 5: Solve for x
    x = 228,347,461,392.72/528,043.75
  6. Step 6: Final answer
    x = 432,440.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.