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Finding the Fourth Proportional to 416,420.08, 574,661.01 and 225,433.02

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Solution

The fourth proportional to 416,420.08, 574,661.01 and 225,433.02 is: 311,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,420.08 : 574,661.01 = 225,433.02 : x
  2. Step 2: Convert to fraction form
    416,420.08/574,661.01 = 225,433.02/x
  3. Step 3: Cross multiply
    416,420.08x = 574,661.01 × 225,433.02
  4. Step 4: Simplify right side
    416,420.08x = 129,547,566,960.55
  5. Step 5: Solve for x
    x = 129,547,566,960.55/416,420.08
  6. Step 6: Final answer
    x = 311,098.27

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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.