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Finding the Fourth Proportional to 535,002.75, 738,356.61 and 305,594.34

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Solution

The fourth proportional to 535,002.75, 738,356.61 and 305,594.34 is: 421,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,002.75 : 738,356.61 = 305,594.34 : x
  2. Step 2: Convert to fraction form
    535,002.75/738,356.61 = 305,594.34/x
  3. Step 3: Cross multiply
    535,002.75x = 738,356.61 × 305,594.34
  4. Step 4: Simplify right side
    535,002.75x = 225,637,600,917.59
  5. Step 5: Solve for x
    x = 225,637,600,917.59/535,002.75
  6. Step 6: Final answer
    x = 421,750.36

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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.