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Finding the Fourth Proportional to 463,678.24, 641,284.69 and 415,914.16

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Solution

The fourth proportional to 463,678.24, 641,284.69 and 415,914.16 is: 575,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,678.24 : 641,284.69 = 415,914.16 : x
  2. Step 2: Convert to fraction form
    463,678.24/641,284.69 = 415,914.16/x
  3. Step 3: Cross multiply
    463,678.24x = 641,284.69 × 415,914.16
  4. Step 4: Simplify right side
    463,678.24x = 266,719,377,876.22
  5. Step 5: Solve for x
    x = 266,719,377,876.22/463,678.24
  6. Step 6: Final answer
    x = 575,225.14

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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.