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Finding the Fourth Proportional to 310,166.34, 428,192.10 and 208,725.18

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Solution

The fourth proportional to 310,166.34, 428,192.10 and 208,725.18 is: 288,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,166.34 : 428,192.10 = 208,725.18 : x
  2. Step 2: Convert to fraction form
    310,166.34/428,192.10 = 208,725.18/x
  3. Step 3: Cross multiply
    310,166.34x = 428,192.10 × 208,725.18
  4. Step 4: Simplify right side
    310,166.34x = 89,374,473,147.08
  5. Step 5: Solve for x
    x = 89,374,473,147.08/310,166.34
  6. Step 6: Final answer
    x = 288,150.14

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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.