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Finding the Fourth Proportional to 458,632.40, 687,365.40 and 408,477.20

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Solution

The fourth proportional to 458,632.40, 687,365.40 and 408,477.20 is: 612,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,632.40 : 687,365.40 = 408,477.20 : x
  2. Step 2: Convert to fraction form
    458,632.40/687,365.40 = 408,477.20/x
  3. Step 3: Cross multiply
    458,632.40x = 687,365.40 × 408,477.20
  4. Step 4: Simplify right side
    458,632.40x = 280,773,093,968.88
  5. Step 5: Solve for x
    x = 280,773,093,968.88/458,632.40
  6. Step 6: Final answer
    x = 612,196.38

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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.