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Finding the Fourth Proportional to 443,830.32, 612,599.76 and 273,966.84

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Solution

The fourth proportional to 443,830.32, 612,599.76 and 273,966.84 is: 378,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,830.32 : 612,599.76 = 273,966.84 : x
  2. Step 2: Convert to fraction form
    443,830.32/612,599.76 = 273,966.84/x
  3. Step 3: Cross multiply
    443,830.32x = 612,599.76 × 273,966.84
  4. Step 4: Simplify right side
    443,830.32x = 167,832,020,431.96
  5. Step 5: Solve for x
    x = 167,832,020,431.96/443,830.32
  6. Step 6: Final answer
    x = 378,144.56

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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.