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Finding the Fourth Proportional to 664,592.16, 917,125.38 and 378,106.08

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Solution

The fourth proportional to 664,592.16, 917,125.38 and 378,106.08 is: 521,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,592.16 : 917,125.38 = 378,106.08 : x
  2. Step 2: Convert to fraction form
    664,592.16/917,125.38 = 378,106.08/x
  3. Step 3: Cross multiply
    664,592.16x = 917,125.38 × 378,106.08
  4. Step 4: Simplify right side
    664,592.16x = 346,770,682,300.31
  5. Step 5: Solve for x
    x = 346,770,682,300.31/664,592.16
  6. Step 6: Final answer
    x = 521,779.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.