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Finding the Fourth Proportional to 712,826.50, 983,458.38 and 406,682.95

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Solution

The fourth proportional to 712,826.50, 983,458.38 and 406,682.95 is: 561,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,826.50 : 983,458.38 = 406,682.95 : x
  2. Step 2: Convert to fraction form
    712,826.50/983,458.38 = 406,682.95/x
  3. Step 3: Cross multiply
    712,826.50x = 983,458.38 × 406,682.95
  4. Step 4: Simplify right side
    712,826.50x = 399,955,755,180.62
  5. Step 5: Solve for x
    x = 399,955,755,180.62/712,826.50
  6. Step 6: Final answer
    x = 561,084.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.