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Finding the Fourth Proportional to 298,302.18, 411,657 and 164,166.18

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Solution

The fourth proportional to 298,302.18, 411,657 and 164,166.18 is: 226,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,302.18 : 411,657 = 164,166.18 : x
  2. Step 2: Convert to fraction form
    298,302.18/411,657 = 164,166.18/x
  3. Step 3: Cross multiply
    298,302.18x = 411,657 × 164,166.18
  4. Step 4: Simplify right side
    298,302.18x = 67,580,157,160.26
  5. Step 5: Solve for x
    x = 67,580,157,160.26/298,302.18
  6. Step 6: Final answer
    x = 226,549.32

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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.