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Finding the Fourth Proportional to 505,829.81, 698,037.02 and 276,382.13

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Solution

The fourth proportional to 505,829.81, 698,037.02 and 276,382.13 is: 381,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,829.81 : 698,037.02 = 276,382.13 : x
  2. Step 2: Convert to fraction form
    505,829.81/698,037.02 = 276,382.13/x
  3. Step 3: Cross multiply
    505,829.81x = 698,037.02 × 276,382.13
  4. Step 4: Simplify right side
    505,829.81x = 192,924,953,534.36
  5. Step 5: Solve for x
    x = 192,924,953,534.36/505,829.81
  6. Step 6: Final answer
    x = 381,402.90

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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.