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Finding the Fourth Proportional to 483,808.60, 724,838.10 and 413,824.60

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Solution

The fourth proportional to 483,808.60, 724,838.10 and 413,824.60 is: 619,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,808.60 : 724,838.10 = 413,824.60 : x
  2. Step 2: Convert to fraction form
    483,808.60/724,838.10 = 413,824.60/x
  3. Step 3: Cross multiply
    483,808.60x = 724,838.10 × 413,824.60
  4. Step 4: Simplify right side
    483,808.60x = 299,955,836,797.26
  5. Step 5: Solve for x
    x = 299,955,836,797.26/483,808.60
  6. Step 6: Final answer
    x = 619,988.64

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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.