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Finding the Fourth Proportional to 712,849.76, 983,607.62 and 406,786.40

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Solution

The fourth proportional to 712,849.76, 983,607.62 and 406,786.40 is: 561,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,849.76 : 983,607.62 = 406,786.40 : x
  2. Step 2: Convert to fraction form
    712,849.76/983,607.62 = 406,786.40/x
  3. Step 3: Cross multiply
    712,849.76x = 983,607.62 × 406,786.40
  4. Step 4: Simplify right side
    712,849.76x = 400,118,202,752.37
  5. Step 5: Solve for x
    x = 400,118,202,752.37/712,849.76
  6. Step 6: Final answer
    x = 561,293.87

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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.