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Finding the Fourth Proportional to 516,078.20, 774,117.30 and 397,980.20

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Solution

The fourth proportional to 516,078.20, 774,117.30 and 397,980.20 is: 596,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,078.20 : 774,117.30 = 397,980.20 : x
  2. Step 2: Convert to fraction form
    516,078.20/774,117.30 = 397,980.20/x
  3. Step 3: Cross multiply
    516,078.20x = 774,117.30 × 397,980.20
  4. Step 4: Simplify right side
    516,078.20x = 308,083,357,877.46
  5. Step 5: Solve for x
    x = 308,083,357,877.46/516,078.20
  6. Step 6: Final answer
    x = 596,970.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.