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Finding the Fourth Proportional to 458,979.20, 688,468.80 and 412,323.20

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Solution

The fourth proportional to 458,979.20, 688,468.80 and 412,323.20 is: 618,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,979.20 : 688,468.80 = 412,323.20 : x
  2. Step 2: Convert to fraction form
    458,979.20/688,468.80 = 412,323.20/x
  3. Step 3: Cross multiply
    458,979.20x = 688,468.80 × 412,323.20
  4. Step 4: Simplify right side
    458,979.20x = 283,871,658,716.16
  5. Step 5: Solve for x
    x = 283,871,658,716.16/458,979.20
  6. Step 6: Final answer
    x = 618,484.80

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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.