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Finding the Fourth Proportional to 420,652.36, 580,495.86 and 229,665.16

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Solution

The fourth proportional to 420,652.36, 580,495.86 and 229,665.16 is: 316,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,652.36 : 580,495.86 = 229,665.16 : x
  2. Step 2: Convert to fraction form
    420,652.36/580,495.86 = 229,665.16/x
  3. Step 3: Cross multiply
    420,652.36x = 580,495.86 × 229,665.16
  4. Step 4: Simplify right side
    420,652.36x = 133,319,674,566.24
  5. Step 5: Solve for x
    x = 133,319,674,566.24/420,652.36
  6. Step 6: Final answer
    x = 316,935.52

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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.