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Finding the Fourth Proportional to 419,143.32, 578,246.94 and 257,949.72

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Solution

The fourth proportional to 419,143.32, 578,246.94 and 257,949.72 is: 355,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,143.32 : 578,246.94 = 257,949.72 : x
  2. Step 2: Convert to fraction form
    419,143.32/578,246.94 = 257,949.72/x
  3. Step 3: Cross multiply
    419,143.32x = 578,246.94 × 257,949.72
  4. Step 4: Simplify right side
    419,143.32x = 149,158,636,263.86
  5. Step 5: Solve for x
    x = 149,158,636,263.86/419,143.32
  6. Step 6: Final answer
    x = 355,865.47

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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.