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Finding the Fourth Proportional to 416,814.50, 623,509.04 and 332,738.87

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Solution

The fourth proportional to 416,814.50, 623,509.04 and 332,738.87 is: 497,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,814.50 : 623,509.04 = 332,738.87 : x
  2. Step 2: Convert to fraction form
    416,814.50/623,509.04 = 332,738.87/x
  3. Step 3: Cross multiply
    416,814.50x = 623,509.04 × 332,738.87
  4. Step 4: Simplify right side
    416,814.50x = 207,465,688,623.15
  5. Step 5: Solve for x
    x = 207,465,688,623.15/416,814.50
  6. Step 6: Final answer
    x = 497,741.06

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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.