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Finding the Fourth Proportional to 397,875.68, 596,833.34 and 113,608.40

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Solution

The fourth proportional to 397,875.68, 596,833.34 and 113,608.40 is: 170,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,875.68 : 596,833.34 = 113,608.40 : x
  2. Step 2: Convert to fraction form
    397,875.68/596,833.34 = 113,608.40/x
  3. Step 3: Cross multiply
    397,875.68x = 596,833.34 × 113,608.40
  4. Step 4: Simplify right side
    397,875.68x = 67,805,280,824.06
  5. Step 5: Solve for x
    x = 67,805,280,824.06/397,875.68
  6. Step 6: Final answer
    x = 170,418.26

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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.