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Finding the Fourth Proportional to 430,586.28, 645,460.38 and 205,888.68

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Solution

The fourth proportional to 430,586.28, 645,460.38 and 205,888.68 is: 308,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,586.28 : 645,460.38 = 205,888.68 : x
  2. Step 2: Convert to fraction form
    430,586.28/645,460.38 = 205,888.68/x
  3. Step 3: Cross multiply
    430,586.28x = 645,460.38 × 205,888.68
  4. Step 4: Simplify right side
    430,586.28x = 132,892,985,630.50
  5. Step 5: Solve for x
    x = 132,892,985,630.50/430,586.28
  6. Step 6: Final answer
    x = 308,632.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.