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Finding the Fourth Proportional to 535,609.36, 803,802.39 and 198,698.06

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Solution

The fourth proportional to 535,609.36, 803,802.39 and 198,698.06 is: 298,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,609.36 : 803,802.39 = 198,698.06 : x
  2. Step 2: Convert to fraction form
    535,609.36/803,802.39 = 198,698.06/x
  3. Step 3: Cross multiply
    535,609.36x = 803,802.39 × 198,698.06
  4. Step 4: Simplify right side
    535,609.36x = 159,713,976,780.75
  5. Step 5: Solve for x
    x = 159,713,976,780.75/535,609.36
  6. Step 6: Final answer
    x = 298,191.16

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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.