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Finding the Fourth Proportional to 795,698, 1,193,547 and 270,386

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Solution

The fourth proportional to 795,698, 1,193,547 and 270,386 is: 405,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,698 : 1,193,547 = 270,386 : x
  2. Step 2: Convert to fraction form
    795,698/1,193,547 = 270,386/x
  3. Step 3: Cross multiply
    795,698x = 1,193,547 × 270,386
  4. Step 4: Simplify right side
    795,698x = 322,718,399,142
  5. Step 5: Solve for x
    x = 322,718,399,142/795,698
  6. Step 6: Final answer
    x = 405,579

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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.