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Finding the Fourth Proportional to 542,783.10, 814,693.05 and 463,986.30

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Solution

The fourth proportional to 542,783.10, 814,693.05 and 463,986.30 is: 696,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,783.10 : 814,693.05 = 463,986.30 : x
  2. Step 2: Convert to fraction form
    542,783.10/814,693.05 = 463,986.30/x
  3. Step 3: Cross multiply
    542,783.10x = 814,693.05 × 463,986.30
  4. Step 4: Simplify right side
    542,783.10x = 378,006,413,905.22
  5. Step 5: Solve for x
    x = 378,006,413,905.22/542,783.10
  6. Step 6: Final answer
    x = 696,422.59

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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.