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Finding the Fourth Proportional to 712,864.36, 983,715.21 and 406,928.57

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Solution

The fourth proportional to 712,864.36, 983,715.21 and 406,928.57 is: 561,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,864.36 : 983,715.21 = 406,928.57 : x
  2. Step 2: Convert to fraction form
    712,864.36/983,715.21 = 406,928.57/x
  3. Step 3: Cross multiply
    712,864.36x = 983,715.21 × 406,928.57
  4. Step 4: Simplify right side
    712,864.36x = 400,301,826,151.84
  5. Step 5: Solve for x
    x = 400,301,826,151.84/712,864.36
  6. Step 6: Final answer
    x = 561,539.96

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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.