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Finding the Fourth Proportional to 526,998.82, 727,263.38 and 309,211.19

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Solution

The fourth proportional to 526,998.82, 727,263.38 and 309,211.19 is: 426,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,998.82 : 727,263.38 = 309,211.19 : x
  2. Step 2: Convert to fraction form
    526,998.82/727,263.38 = 309,211.19/x
  3. Step 3: Cross multiply
    526,998.82x = 727,263.38 × 309,211.19
  4. Step 4: Simplify right side
    526,998.82x = 224,877,975,173.22
  5. Step 5: Solve for x
    x = 224,877,975,173.22/526,998.82
  6. Step 6: Final answer
    x = 426,714.38

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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.