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Finding the Fourth Proportional to 415,084.69, 572,817.72 and 242,971.57

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Solution

The fourth proportional to 415,084.69, 572,817.72 and 242,971.57 is: 335,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,084.69 : 572,817.72 = 242,971.57 : x
  2. Step 2: Convert to fraction form
    415,084.69/572,817.72 = 242,971.57/x
  3. Step 3: Cross multiply
    415,084.69x = 572,817.72 × 242,971.57
  4. Step 4: Simplify right side
    415,084.69x = 139,178,420,752.22
  5. Step 5: Solve for x
    x = 139,178,420,752.22/415,084.69
  6. Step 6: Final answer
    x = 335,301.26

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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.