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Finding the Fourth Proportional to 438,733.20, 657,662.40 and 201,662.40

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Solution

The fourth proportional to 438,733.20, 657,662.40 and 201,662.40 is: 302,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,733.20 : 657,662.40 = 201,662.40 : x
  2. Step 2: Convert to fraction form
    438,733.20/657,662.40 = 201,662.40/x
  3. Step 3: Cross multiply
    438,733.20x = 657,662.40 × 201,662.40
  4. Step 4: Simplify right side
    438,733.20x = 132,625,777,973.76
  5. Step 5: Solve for x
    x = 132,625,777,973.76/438,733.20
  6. Step 6: Final answer
    x = 302,292.55

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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.