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Finding the Fourth Proportional to 386,467.94, 533,328.98 and 214,397.18

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Solution

The fourth proportional to 386,467.94, 533,328.98 and 214,397.18 is: 295,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,467.94 : 533,328.98 = 214,397.18 : x
  2. Step 2: Convert to fraction form
    386,467.94/533,328.98 = 214,397.18/x
  3. Step 3: Cross multiply
    386,467.94x = 533,328.98 × 214,397.18
  4. Step 4: Simplify right side
    386,467.94x = 114,344,227,585.63
  5. Step 5: Solve for x
    x = 114,344,227,585.63/386,467.94
  6. Step 6: Final answer
    x = 295,869.89

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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.