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Finding the Fourth Proportional to 500,176.21, 750,404.82 and 200,866.98

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Solution

The fourth proportional to 500,176.21, 750,404.82 and 200,866.98 is: 301,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,176.21 : 750,404.82 = 200,866.98 : x
  2. Step 2: Convert to fraction form
    500,176.21/750,404.82 = 200,866.98/x
  3. Step 3: Cross multiply
    500,176.21x = 750,404.82 × 200,866.98
  4. Step 4: Simplify right side
    500,176.21x = 150,731,549,970.84
  5. Step 5: Solve for x
    x = 150,731,549,970.84/500,176.21
  6. Step 6: Final answer
    x = 301,356.90

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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.