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Finding the Fourth Proportional to 296,709.93, 409,433.22 and 175,830.75

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Solution

The fourth proportional to 296,709.93, 409,433.22 and 175,830.75 is: 242,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,709.93 : 409,433.22 = 175,830.75 : x
  2. Step 2: Convert to fraction form
    296,709.93/409,433.22 = 175,830.75/x
  3. Step 3: Cross multiply
    296,709.93x = 409,433.22 × 175,830.75
  4. Step 4: Simplify right side
    296,709.93x = 71,990,950,147.52
  5. Step 5: Solve for x
    x = 71,990,950,147.52/296,709.93
  6. Step 6: Final answer
    x = 242,630.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.