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Finding the Fourth Proportional to 508,491.76, 701,734.44 and 282,158.32

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Solution

The fourth proportional to 508,491.76, 701,734.44 and 282,158.32 is: 389,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,491.76 : 701,734.44 = 282,158.32 : x
  2. Step 2: Convert to fraction form
    508,491.76/701,734.44 = 282,158.32/x
  3. Step 3: Cross multiply
    508,491.76x = 701,734.44 × 282,158.32
  4. Step 4: Simplify right side
    508,491.76x = 198,000,210,676.54
  5. Step 5: Solve for x
    x = 198,000,210,676.54/508,491.76
  6. Step 6: Final answer
    x = 389,387.26

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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.