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Finding the Fourth Proportional to 401,428.80, 601,851.60 and 164,649.60

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Solution

The fourth proportional to 401,428.80, 601,851.60 and 164,649.60 is: 246,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,428.80 : 601,851.60 = 164,649.60 : x
  2. Step 2: Convert to fraction form
    401,428.80/601,851.60 = 164,649.60/x
  3. Step 3: Cross multiply
    401,428.80x = 601,851.60 × 164,649.60
  4. Step 4: Simplify right side
    401,428.80x = 99,094,625,199.36
  5. Step 5: Solve for x
    x = 99,094,625,199.36/401,428.80
  6. Step 6: Final answer
    x = 246,854.80

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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.