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Finding the Fourth Proportional to 535,708.37, 803,536.51 and 198,814.64

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Solution

The fourth proportional to 535,708.37, 803,536.51 and 198,814.64 is: 298,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,708.37 : 803,536.51 = 198,814.64 : x
  2. Step 2: Convert to fraction form
    535,708.37/803,536.51 = 198,814.64/x
  3. Step 3: Cross multiply
    535,708.37x = 803,536.51 × 198,814.64
  4. Step 4: Simplify right side
    535,708.37x = 159,754,821,962.51
  5. Step 5: Solve for x
    x = 159,754,821,962.51/535,708.37
  6. Step 6: Final answer
    x = 298,212.29

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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.