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Finding the Fourth Proportional to 676,530, 933,611.40 and 408,258

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Solution

The fourth proportional to 676,530, 933,611.40 and 408,258 is: 563,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,530 : 933,611.40 = 408,258 : x
  2. Step 2: Convert to fraction form
    676,530/933,611.40 = 408,258/x
  3. Step 3: Cross multiply
    676,530x = 933,611.40 × 408,258
  4. Step 4: Simplify right side
    676,530x = 381,154,322,941.20
  5. Step 5: Solve for x
    x = 381,154,322,941.20/676,530
  6. Step 6: Final answer
    x = 563,396.04

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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.