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Finding the Fourth Proportional to 543,846.30, 814,785.30 and 465,114.30

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Solution

The fourth proportional to 543,846.30, 814,785.30 and 465,114.30 is: 696,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,846.30 : 814,785.30 = 465,114.30 : x
  2. Step 2: Convert to fraction form
    543,846.30/814,785.30 = 465,114.30/x
  3. Step 3: Cross multiply
    543,846.30x = 814,785.30 × 465,114.30
  4. Step 4: Simplify right side
    543,846.30x = 378,968,294,459.79
  5. Step 5: Solve for x
    x = 378,968,294,459.79/543,846.30
  6. Step 6: Final answer
    x = 696,829.77

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1.5x scale

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.