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Finding the Fourth Proportional to 386,176.18, 532,880.10 and 214,089.32

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Solution

The fourth proportional to 386,176.18, 532,880.10 and 214,089.32 is: 295,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,176.18 : 532,880.10 = 214,089.32 : x
  2. Step 2: Convert to fraction form
    386,176.18/532,880.10 = 214,089.32/x
  3. Step 3: Cross multiply
    386,176.18x = 532,880.10 × 214,089.32
  4. Step 4: Simplify right side
    386,176.18x = 114,083,938,250.53
  5. Step 5: Solve for x
    x = 114,083,938,250.53/386,176.18
  6. Step 6: Final answer
    x = 295,419.41

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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.