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Finding the Fourth Proportional to 459,455.60, 687,239.40 and 412,410.80

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Solution

The fourth proportional to 459,455.60, 687,239.40 and 412,410.80 is: 616,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,455.60 : 687,239.40 = 412,410.80 : x
  2. Step 2: Convert to fraction form
    459,455.60/687,239.40 = 412,410.80/x
  3. Step 3: Cross multiply
    459,455.60x = 687,239.40 × 412,410.80
  4. Step 4: Simplify right side
    459,455.60x = 283,424,950,745.52
  5. Step 5: Solve for x
    x = 283,424,950,745.52/459,455.60
  6. Step 6: Final answer
    x = 616,871.25

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1.5x scale

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.