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Finding the Fourth Proportional to 423,142.48, 634,728.84 and 142,662.16

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Solution

The fourth proportional to 423,142.48, 634,728.84 and 142,662.16 is: 213,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,142.48 : 634,728.84 = 142,662.16 : x
  2. Step 2: Convert to fraction form
    423,142.48/634,728.84 = 142,662.16/x
  3. Step 3: Cross multiply
    423,142.48x = 634,728.84 × 142,662.16
  4. Step 4: Simplify right side
    423,142.48x = 90,551,787,328.69
  5. Step 5: Solve for x
    x = 90,551,787,328.69/423,142.48
  6. Step 6: Final answer
    x = 213,998.34

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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.