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Finding the Fourth Proportional to 438,964.49, 657,938.46 and 201,809.45

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Solution

The fourth proportional to 438,964.49, 657,938.46 and 201,809.45 is: 302,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,964.49 : 657,938.46 = 201,809.45 : x
  2. Step 2: Convert to fraction form
    438,964.49/657,938.46 = 201,809.45/x
  3. Step 3: Cross multiply
    438,964.49x = 657,938.46 × 201,809.45
  4. Step 4: Simplify right side
    438,964.49x = 132,778,198,746.45
  5. Step 5: Solve for x
    x = 132,778,198,746.45/438,964.49
  6. Step 6: Final answer
    x = 302,480.50

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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.