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Finding the Fourth Proportional to 509,473.17, 703,080.19 and 280,051.67

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Solution

The fourth proportional to 509,473.17, 703,080.19 and 280,051.67 is: 386,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,473.17 : 703,080.19 = 280,051.67 : x
  2. Step 2: Convert to fraction form
    509,473.17/703,080.19 = 280,051.67/x
  3. Step 3: Cross multiply
    509,473.17x = 703,080.19 × 280,051.67
  4. Step 4: Simplify right side
    509,473.17x = 196,898,777,838.02
  5. Step 5: Solve for x
    x = 196,898,777,838.02/509,473.17
  6. Step 6: Final answer
    x = 386,475.27

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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.