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Finding the Fourth Proportional to 398,567.94, 597,994.48 and 170,767.86

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Solution

The fourth proportional to 398,567.94, 597,994.48 and 170,767.86 is: 256,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,567.94 : 597,994.48 = 170,767.86 : x
  2. Step 2: Convert to fraction form
    398,567.94/597,994.48 = 170,767.86/x
  3. Step 3: Cross multiply
    398,567.94x = 597,994.48 × 170,767.86
  4. Step 4: Simplify right side
    398,567.94x = 102,118,237,641.41
  5. Step 5: Solve for x
    x = 102,118,237,641.41/398,567.94
  6. Step 6: Final answer
    x = 256,212.87

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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.