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Finding the Fourth Proportional to 483,393.60, 725,090.40 and 411,854.40

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Solution

The fourth proportional to 483,393.60, 725,090.40 and 411,854.40 is: 617,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,393.60 : 725,090.40 = 411,854.40 : x
  2. Step 2: Convert to fraction form
    483,393.60/725,090.40 = 411,854.40/x
  3. Step 3: Cross multiply
    483,393.60x = 725,090.40 × 411,854.40
  4. Step 4: Simplify right side
    483,393.60x = 298,631,671,637.76
  5. Step 5: Solve for x
    x = 298,631,671,637.76/483,393.60
  6. Step 6: Final answer
    x = 617,781.60

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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.