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Finding the Fourth Proportional to 345,125.34, 476,294.58 and 209,171.16

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Solution

The fourth proportional to 345,125.34, 476,294.58 and 209,171.16 is: 288,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,125.34 : 476,294.58 = 209,171.16 : x
  2. Step 2: Convert to fraction form
    345,125.34/476,294.58 = 209,171.16/x
  3. Step 3: Cross multiply
    345,125.34x = 476,294.58 × 209,171.16
  4. Step 4: Simplify right side
    345,125.34x = 99,627,089,800.31
  5. Step 5: Solve for x
    x = 99,627,089,800.31/345,125.34
  6. Step 6: Final answer
    x = 288,669.30

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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.