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Finding the Fourth Proportional to 264,641.40, 396,962.10 and 164,476.80

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Solution

The fourth proportional to 264,641.40, 396,962.10 and 164,476.80 is: 246,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,641.40 : 396,962.10 = 164,476.80 : x
  2. Step 2: Convert to fraction form
    264,641.40/396,962.10 = 164,476.80/x
  3. Step 3: Cross multiply
    264,641.40x = 396,962.10 × 164,476.80
  4. Step 4: Simplify right side
    264,641.40x = 65,291,055,929.28
  5. Step 5: Solve for x
    x = 65,291,055,929.28/264,641.40
  6. Step 6: Final answer
    x = 246,715.20

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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.