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Finding the Fourth Proportional to 376,564.80, 564,409.80 and 151,814.10

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Solution

The fourth proportional to 376,564.80, 564,409.80 and 151,814.10 is: 227,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,564.80 : 564,409.80 = 151,814.10 : x
  2. Step 2: Convert to fraction form
    376,564.80/564,409.80 = 151,814.10/x
  3. Step 3: Cross multiply
    376,564.80x = 564,409.80 × 151,814.10
  4. Step 4: Simplify right side
    376,564.80x = 85,685,365,818.18
  5. Step 5: Solve for x
    x = 85,685,365,818.18/376,564.80
  6. Step 6: Final answer
    x = 227,544.81

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Why These Related Problems?

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