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Finding the Fourth Proportional to 712,871.42, 983,724.95 and 406,935.63

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Solution

The fourth proportional to 712,871.42, 983,724.95 and 406,935.63 is: 561,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,871.42 : 983,724.95 = 406,935.63 : x
  2. Step 2: Convert to fraction form
    712,871.42/983,724.95 = 406,935.63/x
  3. Step 3: Cross multiply
    712,871.42x = 983,724.95 × 406,935.63
  4. Step 4: Simplify right side
    712,871.42x = 400,312,733,292.31
  5. Step 5: Solve for x
    x = 400,312,733,292.31/712,871.42
  6. Step 6: Final answer
    x = 561,549.71

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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.