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Finding the Fourth Proportional to 678,390.46, 1,016,635.29 and 509,803

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Solution

The fourth proportional to 678,390.46, 1,016,635.29 and 509,803 is: 763,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,390.46 : 1,016,635.29 = 509,803 : x
  2. Step 2: Convert to fraction form
    678,390.46/1,016,635.29 = 509,803/x
  3. Step 3: Cross multiply
    678,390.46x = 1,016,635.29 × 509,803
  4. Step 4: Simplify right side
    678,390.46x = 518,283,720,747.87
  5. Step 5: Solve for x
    x = 518,283,720,747.87/678,390.46
  6. Step 6: Final answer
    x = 763,990.28

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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.