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Finding the Fourth Proportional to 389,632.41, 584,390.16 and 123,358.41

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Solution

The fourth proportional to 389,632.41, 584,390.16 and 123,358.41 is: 185,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,632.41 : 584,390.16 = 123,358.41 : x
  2. Step 2: Convert to fraction form
    389,632.41/584,390.16 = 123,358.41/x
  3. Step 3: Cross multiply
    389,632.41x = 584,390.16 × 123,358.41
  4. Step 4: Simplify right side
    389,632.41x = 72,089,440,957.25
  5. Step 5: Solve for x
    x = 72,089,440,957.25/389,632.41
  6. Step 6: Final answer
    x = 185,019.11

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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.