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Finding the Fourth Proportional to 686,280.64, 946,840.29 and 414,245.18

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Solution

The fourth proportional to 686,280.64, 946,840.29 and 414,245.18 is: 571,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,280.64 : 946,840.29 = 414,245.18 : x
  2. Step 2: Convert to fraction form
    686,280.64/946,840.29 = 414,245.18/x
  3. Step 3: Cross multiply
    686,280.64x = 946,840.29 × 414,245.18
  4. Step 4: Simplify right side
    686,280.64x = 392,224,021,628.10
  5. Step 5: Solve for x
    x = 392,224,021,628.10/686,280.64
  6. Step 6: Final answer
    x = 571,521.33

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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.