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Finding the Fourth Proportional to 438,612.40, 657,918.60 and 281,148.40

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Solution

The fourth proportional to 438,612.40, 657,918.60 and 281,148.40 is: 421,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,612.40 : 657,918.60 = 281,148.40 : x
  2. Step 2: Convert to fraction form
    438,612.40/657,918.60 = 281,148.40/x
  3. Step 3: Cross multiply
    438,612.40x = 657,918.60 × 281,148.40
  4. Step 4: Simplify right side
    438,612.40x = 184,972,761,720.24
  5. Step 5: Solve for x
    x = 184,972,761,720.24/438,612.40
  6. Step 6: Final answer
    x = 421,722.60

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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.