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Finding the Fourth Proportional to 365,159.80, 503,834.12 and 212,107.06

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Solution

The fourth proportional to 365,159.80, 503,834.12 and 212,107.06 is: 292,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,159.80 : 503,834.12 = 212,107.06 : x
  2. Step 2: Convert to fraction form
    365,159.80/503,834.12 = 212,107.06/x
  3. Step 3: Cross multiply
    365,159.80x = 503,834.12 × 212,107.06
  4. Step 4: Simplify right side
    365,159.80x = 106,866,771,401.72
  5. Step 5: Solve for x
    x = 106,866,771,401.72/365,159.80
  6. Step 6: Final answer
    x = 292,657.55

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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.