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Finding the Fourth Proportional to 975,840.20, 1,461,686.70 and 809,952.20

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Solution

The fourth proportional to 975,840.20, 1,461,686.70 and 809,952.20 is: 1,213,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,840.20 : 1,461,686.70 = 809,952.20 : x
  2. Step 2: Convert to fraction form
    975,840.20/1,461,686.70 = 809,952.20/x
  3. Step 3: Cross multiply
    975,840.20x = 1,461,686.70 × 809,952.20
  4. Step 4: Simplify right side
    975,840.20x = 1,183,896,358,375.74
  5. Step 5: Solve for x
    x = 1,183,896,358,375.74/975,840.20
  6. Step 6: Final answer
    x = 1,213,207.20

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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.