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Finding the Fourth Proportional to 438,523.40, 657,590.70 and 201,744.20

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Solution

The fourth proportional to 438,523.40, 657,590.70 and 201,744.20 is: 302,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,523.40 : 657,590.70 = 201,744.20 : x
  2. Step 2: Convert to fraction form
    438,523.40/657,590.70 = 201,744.20/x
  3. Step 3: Cross multiply
    438,523.40x = 657,590.70 × 201,744.20
  4. Step 4: Simplify right side
    438,523.40x = 132,665,109,698.94
  5. Step 5: Solve for x
    x = 132,665,109,698.94/438,523.40
  6. Step 6: Final answer
    x = 302,526.87

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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.