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Finding the Fourth Proportional to 341,890.32, 471,611.34 and 205,829.76

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Solution

The fourth proportional to 341,890.32, 471,611.34 and 205,829.76 is: 283,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,890.32 : 471,611.34 = 205,829.76 : x
  2. Step 2: Convert to fraction form
    341,890.32/471,611.34 = 205,829.76/x
  3. Step 3: Cross multiply
    341,890.32x = 471,611.34 × 205,829.76
  4. Step 4: Simplify right side
    341,890.32x = 97,071,648,925.48
  5. Step 5: Solve for x
    x = 97,071,648,925.48/341,890.32
  6. Step 6: Final answer
    x = 283,926.29

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