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Finding the Fourth Proportional to 712,983.42, 983,917.12 and 411,177.42

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Solution

The fourth proportional to 712,983.42, 983,917.12 and 411,177.42 is: 567,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,983.42 : 983,917.12 = 411,177.42 : x
  2. Step 2: Convert to fraction form
    712,983.42/983,917.12 = 411,177.42/x
  3. Step 3: Cross multiply
    712,983.42x = 983,917.12 × 411,177.42
  4. Step 4: Simplify right side
    712,983.42x = 404,564,502,895.43
  5. Step 5: Solve for x
    x = 404,564,502,895.43/712,983.42
  6. Step 6: Final answer
    x = 567,424.84

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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.