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Finding the Fourth Proportional to 624,849.20, 862,080.28 and 409,969.20

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Solution

The fourth proportional to 624,849.20, 862,080.28 and 409,969.20 is: 565,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,849.20 : 862,080.28 = 409,969.20 : x
  2. Step 2: Convert to fraction form
    624,849.20/862,080.28 = 409,969.20/x
  3. Step 3: Cross multiply
    624,849.20x = 862,080.28 × 409,969.20
  4. Step 4: Simplify right side
    624,849.20x = 353,426,362,727.38
  5. Step 5: Solve for x
    x = 353,426,362,727.38/624,849.20
  6. Step 6: Final answer
    x = 565,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.