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Finding the Fourth Proportional to 510,823.67, 704,941.63 and 281,382.00

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Solution

The fourth proportional to 510,823.67, 704,941.63 and 281,382.00 is: 388,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,823.67 : 704,941.63 = 281,382.00 : x
  2. Step 2: Convert to fraction form
    510,823.67/704,941.63 = 281,382.00/x
  3. Step 3: Cross multiply
    510,823.67x = 704,941.63 × 281,382.00
  4. Step 4: Simplify right side
    510,823.67x = 198,357,887,933.74
  5. Step 5: Solve for x
    x = 198,357,887,933.74/510,823.67
  6. Step 6: Final answer
    x = 388,309.90

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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.