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Finding the Fourth Proportional to 420,653.36, 580,497.24 and 229,666.16

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Solution

The fourth proportional to 420,653.36, 580,497.24 and 229,666.16 is: 316,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,653.36 : 580,497.24 = 229,666.16 : x
  2. Step 2: Convert to fraction form
    420,653.36/580,497.24 = 229,666.16/x
  3. Step 3: Cross multiply
    420,653.36x = 580,497.24 × 229,666.16
  4. Step 4: Simplify right side
    420,653.36x = 133,320,572,001.40
  5. Step 5: Solve for x
    x = 133,320,572,001.40/420,653.36
  6. Step 6: Final answer
    x = 316,936.90

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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.