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Finding the Fourth Proportional to 415,328.90, 623,013.14 and 201,842.47

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Solution

The fourth proportional to 415,328.90, 623,013.14 and 201,842.47 is: 302,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,328.90 : 623,013.14 = 201,842.47 : x
  2. Step 2: Convert to fraction form
    415,328.90/623,013.14 = 201,842.47/x
  3. Step 3: Cross multiply
    415,328.90x = 623,013.14 × 201,842.47
  4. Step 4: Simplify right side
    415,328.90x = 125,750,511,020.06
  5. Step 5: Solve for x
    x = 125,750,511,020.06/415,328.90
  6. Step 6: Final answer
    x = 302,773.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.