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Finding the Fourth Proportional to 712,217.64, 982,914.90 and 406,300.77

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Solution

The fourth proportional to 712,217.64, 982,914.90 and 406,300.77 is: 560,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,217.64 : 982,914.90 = 406,300.77 : x
  2. Step 2: Convert to fraction form
    712,217.64/982,914.90 = 406,300.77/x
  3. Step 3: Cross multiply
    712,217.64x = 982,914.90 × 406,300.77
  4. Step 4: Simplify right side
    712,217.64x = 399,359,080,714.47
  5. Step 5: Solve for x
    x = 399,359,080,714.47/712,217.64
  6. Step 6: Final answer
    x = 560,726.19

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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.