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Finding the Fourth Proportional to 604,285.60, 906,514.64 and 225,174

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Solution

The fourth proportional to 604,285.60, 906,514.64 and 225,174 is: 337,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,285.60 : 906,514.64 = 225,174 : x
  2. Step 2: Convert to fraction form
    604,285.60/906,514.64 = 225,174/x
  3. Step 3: Cross multiply
    604,285.60x = 906,514.64 × 225,174
  4. Step 4: Simplify right side
    604,285.60x = 204,123,527,547.36
  5. Step 5: Solve for x
    x = 204,123,527,547.36/604,285.60
  6. Step 6: Final answer
    x = 337,793.14

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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.