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Finding the Fourth Proportional to 516,466.40, 774,699.60 and 433,797.80

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Solution

The fourth proportional to 516,466.40, 774,699.60 and 433,797.80 is: 650,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,466.40 : 774,699.60 = 433,797.80 : x
  2. Step 2: Convert to fraction form
    516,466.40/774,699.60 = 433,797.80/x
  3. Step 3: Cross multiply
    516,466.40x = 774,699.60 × 433,797.80
  4. Step 4: Simplify right side
    516,466.40x = 336,062,982,140.88
  5. Step 5: Solve for x
    x = 336,062,982,140.88/516,466.40
  6. Step 6: Final answer
    x = 650,696.70

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Why These Related Problems?

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