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Finding the Fourth Proportional to 712,913.06, 983,660.42 and 406,891.62

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Solution

The fourth proportional to 712,913.06, 983,660.42 and 406,891.62 is: 561,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,913.06 : 983,660.42 = 406,891.62 : x
  2. Step 2: Convert to fraction form
    712,913.06/983,660.42 = 406,891.62/x
  3. Step 3: Cross multiply
    712,913.06x = 983,660.42 × 406,891.62
  4. Step 4: Simplify right side
    712,913.06x = 400,243,182,840.91
  5. Step 5: Solve for x
    x = 400,243,182,840.91/712,913.06
  6. Step 6: Final answer
    x = 561,419.34

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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.