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Finding the Fourth Proportional to 497,908.60, 745,971.90 and 302,806.60

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Solution

The fourth proportional to 497,908.60, 745,971.90 and 302,806.60 is: 453,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,908.60 : 745,971.90 = 302,806.60 : x
  2. Step 2: Convert to fraction form
    497,908.60/745,971.90 = 302,806.60/x
  3. Step 3: Cross multiply
    497,908.60x = 745,971.90 × 302,806.60
  4. Step 4: Simplify right side
    497,908.60x = 225,885,214,734.54
  5. Step 5: Solve for x
    x = 225,885,214,734.54/497,908.60
  6. Step 6: Final answer
    x = 453,668.03

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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.