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Finding the Fourth Proportional to 712,233, 982,878.93 and 406,308.88

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Solution

The fourth proportional to 712,233, 982,878.93 and 406,308.88 is: 560,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,233 : 982,878.93 = 406,308.88 : x
  2. Step 2: Convert to fraction form
    712,233/982,878.93 = 406,308.88/x
  3. Step 3: Cross multiply
    712,233x = 982,878.93 × 406,308.88
  4. Step 4: Simplify right side
    712,233x = 399,352,437,223.90
  5. Step 5: Solve for x
    x = 399,352,437,223.90/712,233
  6. Step 6: Final answer
    x = 560,704.77

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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.