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Finding the Fourth Proportional to 401,029.20, 601,543.80 and 398,264.40

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Solution

The fourth proportional to 401,029.20, 601,543.80 and 398,264.40 is: 597,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,029.20 : 601,543.80 = 398,264.40 : x
  2. Step 2: Convert to fraction form
    401,029.20/601,543.80 = 398,264.40/x
  3. Step 3: Cross multiply
    401,029.20x = 601,543.80 × 398,264.40
  4. Step 4: Simplify right side
    401,029.20x = 239,573,480,580.72
  5. Step 5: Solve for x
    x = 239,573,480,580.72/401,029.20
  6. Step 6: Final answer
    x = 597,396.60

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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.