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Finding the Fourth Proportional to 420,300.36, 580,017.78 and 229,315.32

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Solution

The fourth proportional to 420,300.36, 580,017.78 and 229,315.32 is: 316,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,300.36 : 580,017.78 = 229,315.32 : x
  2. Step 2: Convert to fraction form
    420,300.36/580,017.78 = 229,315.32/x
  3. Step 3: Cross multiply
    420,300.36x = 580,017.78 × 229,315.32
  4. Step 4: Simplify right side
    420,300.36x = 133,006,962,826.39
  5. Step 5: Solve for x
    x = 133,006,962,826.39/420,300.36
  6. Step 6: Final answer
    x = 316,456.93

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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.