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Finding the Fourth Proportional to 519,298.86, 774,585.21 and 471,461.88

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Solution

The fourth proportional to 519,298.86, 774,585.21 and 471,461.88 is: 703,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,298.86 : 774,585.21 = 471,461.88 : x
  2. Step 2: Convert to fraction form
    519,298.86/774,585.21 = 471,461.88/x
  3. Step 3: Cross multiply
    519,298.86x = 774,585.21 × 471,461.88
  4. Step 4: Simplify right side
    519,298.86x = 365,187,399,326.80
  5. Step 5: Solve for x
    x = 365,187,399,326.80/519,298.86
  6. Step 6: Final answer
    x = 703,231.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.