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Finding the Fourth Proportional to 686,283.64, 946,844.43 and 414,248.18

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Solution

The fourth proportional to 686,283.64, 946,844.43 and 414,248.18 is: 571,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,283.64 : 946,844.43 = 414,248.18 : x
  2. Step 2: Convert to fraction form
    686,283.64/946,844.43 = 414,248.18/x
  3. Step 3: Cross multiply
    686,283.64x = 946,844.43 × 414,248.18
  4. Step 4: Simplify right side
    686,283.64x = 392,228,581,870.64
  5. Step 5: Solve for x
    x = 392,228,581,870.64/686,283.64
  6. Step 6: Final answer
    x = 571,525.48

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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.