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Finding the Fourth Proportional to 488,407.40, 732,027.90 and 204,097.40

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Solution

The fourth proportional to 488,407.40, 732,027.90 and 204,097.40 is: 305,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,407.40 : 732,027.90 = 204,097.40 : x
  2. Step 2: Convert to fraction form
    488,407.40/732,027.90 = 204,097.40/x
  3. Step 3: Cross multiply
    488,407.40x = 732,027.90 × 204,097.40
  4. Step 4: Simplify right side
    488,407.40x = 149,404,991,117.46
  5. Step 5: Solve for x
    x = 149,404,991,117.46/488,407.40
  6. Step 6: Final answer
    x = 305,902.39

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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.