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Finding the Fourth Proportional to 599,414.90, 894,749.82 and 523,746.05

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Solution

The fourth proportional to 599,414.90, 894,749.82 and 523,746.05 is: 781,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,414.90 : 894,749.82 = 523,746.05 : x
  2. Step 2: Convert to fraction form
    599,414.90/894,749.82 = 523,746.05/x
  3. Step 3: Cross multiply
    599,414.90x = 894,749.82 × 523,746.05
  4. Step 4: Simplify right side
    599,414.90x = 468,621,677,525.41
  5. Step 5: Solve for x
    x = 468,621,677,525.41/599,414.90
  6. Step 6: Final answer
    x = 781,798.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.