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Finding the Fourth Proportional to 278,915.52, 384,904.80 and 151,593.60

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Solution

The fourth proportional to 278,915.52, 384,904.80 and 151,593.60 is: 209,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,915.52 : 384,904.80 = 151,593.60 : x
  2. Step 2: Convert to fraction form
    278,915.52/384,904.80 = 151,593.60/x
  3. Step 3: Cross multiply
    278,915.52x = 384,904.80 × 151,593.60
  4. Step 4: Simplify right side
    278,915.52x = 58,349,104,289.28
  5. Step 5: Solve for x
    x = 58,349,104,289.28/278,915.52
  6. Step 6: Final answer
    x = 209,199.92

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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.