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Finding the Fourth Proportional to 978,464.80, 1,466,530.80 and 409,844.80

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Solution

The fourth proportional to 978,464.80, 1,466,530.80 and 409,844.80 is: 614,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,464.80 : 1,466,530.80 = 409,844.80 : x
  2. Step 2: Convert to fraction form
    978,464.80/1,466,530.80 = 409,844.80/x
  3. Step 3: Cross multiply
    978,464.80x = 1,466,530.80 × 409,844.80
  4. Step 4: Simplify right side
    978,464.80x = 601,050,022,419.84
  5. Step 5: Solve for x
    x = 601,050,022,419.84/978,464.80
  6. Step 6: Final answer
    x = 614,278.64

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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.