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Finding the Fourth Proportional to 712,470.19, 983,189.82 and 406,541.02

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Solution

The fourth proportional to 712,470.19, 983,189.82 and 406,541.02 is: 561,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,470.19 : 983,189.82 = 406,541.02 : x
  2. Step 2: Convert to fraction form
    712,470.19/983,189.82 = 406,541.02/x
  3. Step 3: Cross multiply
    712,470.19x = 983,189.82 × 406,541.02
  4. Step 4: Simplify right side
    712,470.19x = 399,706,992,276.42
  5. Step 5: Solve for x
    x = 399,706,992,276.42/712,470.19
  6. Step 6: Final answer
    x = 561,015.74

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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.