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Finding the Fourth Proportional to 313,586.40, 469,688.40 and 272,114.40

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Solution

The fourth proportional to 313,586.40, 469,688.40 and 272,114.40 is: 407,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,586.40 : 469,688.40 = 272,114.40 : x
  2. Step 2: Convert to fraction form
    313,586.40/469,688.40 = 272,114.40/x
  3. Step 3: Cross multiply
    313,586.40x = 469,688.40 × 272,114.40
  4. Step 4: Simplify right side
    313,586.40x = 127,808,977,152.96
  5. Step 5: Solve for x
    x = 127,808,977,152.96/313,586.40
  6. Step 6: Final answer
    x = 407,571.81

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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.