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Finding the Fourth Proportional to 497,858.20, 749,478.01 and 453,768.28

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Solution

The fourth proportional to 497,858.20, 749,478.01 and 453,768.28 is: 683,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,858.20 : 749,478.01 = 453,768.28 : x
  2. Step 2: Convert to fraction form
    497,858.20/749,478.01 = 453,768.28/x
  3. Step 3: Cross multiply
    497,858.20x = 749,478.01 × 453,768.28
  4. Step 4: Simplify right side
    497,858.20x = 340,089,347,495.52
  5. Step 5: Solve for x
    x = 340,089,347,495.52/497,858.20
  6. Step 6: Final answer
    x = 683,104.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.