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Finding the Fourth Proportional to 504,091.40, 755,349.62 and 428,902.34

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Solution

The fourth proportional to 504,091.40, 755,349.62 and 428,902.34 is: 642,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,091.40 : 755,349.62 = 428,902.34 : x
  2. Step 2: Convert to fraction form
    504,091.40/755,349.62 = 428,902.34/x
  3. Step 3: Cross multiply
    504,091.40x = 755,349.62 × 428,902.34
  4. Step 4: Simplify right side
    504,091.40x = 323,971,219,536.11
  5. Step 5: Solve for x
    x = 323,971,219,536.11/504,091.40
  6. Step 6: Final answer
    x = 642,683.49

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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.