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Finding the Fourth Proportional to 420,420.96, 580,177.76 and 229,430.16

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Solution

The fourth proportional to 420,420.96, 580,177.76 and 229,430.16 is: 316,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,420.96 : 580,177.76 = 229,430.16 : x
  2. Step 2: Convert to fraction form
    420,420.96/580,177.76 = 229,430.16/x
  3. Step 3: Cross multiply
    420,420.96x = 580,177.76 × 229,430.16
  4. Step 4: Simplify right side
    420,420.96x = 133,110,276,305.24
  5. Step 5: Solve for x
    x = 133,110,276,305.24/420,420.96
  6. Step 6: Final answer
    x = 316,611.89

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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.