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Finding the Fourth Proportional to 278,302.01, 384,057.48 and 150,977.58

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Solution

The fourth proportional to 278,302.01, 384,057.48 and 150,977.58 is: 208,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,302.01 : 384,057.48 = 150,977.58 : x
  2. Step 2: Convert to fraction form
    278,302.01/384,057.48 = 150,977.58/x
  3. Step 3: Cross multiply
    278,302.01x = 384,057.48 × 150,977.58
  4. Step 4: Simplify right side
    278,302.01x = 57,984,068,911.30
  5. Step 5: Solve for x
    x = 57,984,068,911.30/278,302.01
  6. Step 6: Final answer
    x = 208,349.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.