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Finding the Fourth Proportional to 412,316.64, 618,043.26 and 172,567.92

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Solution

The fourth proportional to 412,316.64, 618,043.26 and 172,567.92 is: 258,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,316.64 : 618,043.26 = 172,567.92 : x
  2. Step 2: Convert to fraction form
    412,316.64/618,043.26 = 172,567.92/x
  3. Step 3: Cross multiply
    412,316.64x = 618,043.26 × 172,567.92
  4. Step 4: Simplify right side
    412,316.64x = 106,654,439,848.22
  5. Step 5: Solve for x
    x = 106,654,439,848.22/412,316.64
  6. Step 6: Final answer
    x = 258,671.20

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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.