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Finding the Fourth Proportional to 300,205.82, 450,823.90 and 266,547.90

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Solution

The fourth proportional to 300,205.82, 450,823.90 and 266,547.90 is: 400,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,205.82 : 450,823.90 = 266,547.90 : x
  2. Step 2: Convert to fraction form
    300,205.82/450,823.90 = 266,547.90/x
  3. Step 3: Cross multiply
    300,205.82x = 450,823.90 × 266,547.90
  4. Step 4: Simplify right side
    300,205.82x = 120,166,163,814.81
  5. Step 5: Solve for x
    x = 120,166,163,814.81/300,205.82
  6. Step 6: Final answer
    x = 400,279.26

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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.