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Finding the Fourth Proportional to 420,298.66, 580,014.03 and 229,316.05

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Solution

The fourth proportional to 420,298.66, 580,014.03 and 229,316.05 is: 316,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,298.66 : 580,014.03 = 229,316.05 : x
  2. Step 2: Convert to fraction form
    420,298.66/580,014.03 = 229,316.05/x
  3. Step 3: Cross multiply
    420,298.66x = 580,014.03 × 229,316.05
  4. Step 4: Simplify right side
    420,298.66x = 133,006,526,304.18
  5. Step 5: Solve for x
    x = 133,006,526,304.18/420,298.66
  6. Step 6: Final answer
    x = 316,457.17

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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.