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Finding the Fourth Proportional to 397,851.95, 549,042.68 and 216,569.09

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Solution

The fourth proportional to 397,851.95, 549,042.68 and 216,569.09 is: 298,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,851.95 : 549,042.68 = 216,569.09 : x
  2. Step 2: Convert to fraction form
    397,851.95/549,042.68 = 216,569.09/x
  3. Step 3: Cross multiply
    397,851.95x = 549,042.68 × 216,569.09
  4. Step 4: Simplify right side
    397,851.95x = 118,905,671,374.97
  5. Step 5: Solve for x
    x = 118,905,671,374.97/397,851.95
  6. Step 6: Final answer
    x = 298,869.15

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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.