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Finding the Fourth Proportional to 432,866.04, 649,368.90 and 133,346.60

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Solution

The fourth proportional to 432,866.04, 649,368.90 and 133,346.60 is: 200,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,866.04 : 649,368.90 = 133,346.60 : x
  2. Step 2: Convert to fraction form
    432,866.04/649,368.90 = 133,346.60/x
  3. Step 3: Cross multiply
    432,866.04x = 649,368.90 × 133,346.60
  4. Step 4: Simplify right side
    432,866.04x = 86,591,134,960.74
  5. Step 5: Solve for x
    x = 86,591,134,960.74/432,866.04
  6. Step 6: Final answer
    x = 200,041.41

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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.