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Finding the Fourth Proportional to 410,285.68, 566,222.76 and 229,032.99

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Solution

The fourth proportional to 410,285.68, 566,222.76 and 229,032.99 is: 316,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,285.68 : 566,222.76 = 229,032.99 : x
  2. Step 2: Convert to fraction form
    410,285.68/566,222.76 = 229,032.99/x
  3. Step 3: Cross multiply
    410,285.68x = 566,222.76 × 229,032.99
  4. Step 4: Simplify right side
    410,285.68x = 129,683,691,728.85
  5. Step 5: Solve for x
    x = 129,683,691,728.85/410,285.68
  6. Step 6: Final answer
    x = 316,081.45

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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.