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Finding the Fourth Proportional to 416,700.05, 575,045.53 and 225,714.20

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Solution

The fourth proportional to 416,700.05, 575,045.53 and 225,714.20 is: 311,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,700.05 : 575,045.53 = 225,714.20 : x
  2. Step 2: Convert to fraction form
    416,700.05/575,045.53 = 225,714.20/x
  3. Step 3: Cross multiply
    416,700.05x = 575,045.53 × 225,714.20
  4. Step 4: Simplify right side
    416,700.05x = 129,795,938,328.01
  5. Step 5: Solve for x
    x = 129,795,938,328.01/416,700.05
  6. Step 6: Final answer
    x = 311,485.30

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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.