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Finding the Fourth Proportional to 465,595.38, 697,808.61 and 199,042.65

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Solution

The fourth proportional to 465,595.38, 697,808.61 and 199,042.65 is: 298,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,595.38 : 697,808.61 = 199,042.65 : x
  2. Step 2: Convert to fraction form
    465,595.38/697,808.61 = 199,042.65/x
  3. Step 3: Cross multiply
    465,595.38x = 697,808.61 × 199,042.65
  4. Step 4: Simplify right side
    465,595.38x = 138,893,674,927.22
  5. Step 5: Solve for x
    x = 138,893,674,927.22/465,595.38
  6. Step 6: Final answer
    x = 298,314.12

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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.