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Finding the Fourth Proportional to 508,898.48, 702,301.84 and 282,544

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Solution

The fourth proportional to 508,898.48, 702,301.84 and 282,544 is: 389,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,898.48 : 702,301.84 = 282,544 : x
  2. Step 2: Convert to fraction form
    508,898.48/702,301.84 = 282,544/x
  3. Step 3: Cross multiply
    508,898.48x = 702,301.84 × 282,544
  4. Step 4: Simplify right side
    508,898.48x = 198,431,171,080.96
  5. Step 5: Solve for x
    x = 198,431,171,080.96/508,898.48
  6. Step 6: Final answer
    x = 389,922.90

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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.