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Finding the Fourth Proportional to 419,210.38, 578,511.69 and 228,225.14

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Solution

The fourth proportional to 419,210.38, 578,511.69 and 228,225.14 is: 314,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,210.38 : 578,511.69 = 228,225.14 : x
  2. Step 2: Convert to fraction form
    419,210.38/578,511.69 = 228,225.14/x
  3. Step 3: Cross multiply
    419,210.38x = 578,511.69 × 228,225.14
  4. Step 4: Simplify right side
    419,210.38x = 132,030,908,549.33
  5. Step 5: Solve for x
    x = 132,030,908,549.33/419,210.38
  6. Step 6: Final answer
    x = 314,951.43

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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.