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Finding the Fourth Proportional to 278,894.61, 384,877.53 and 151,570.20

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Solution

The fourth proportional to 278,894.61, 384,877.53 and 151,570.20 is: 209,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894.61 : 384,877.53 = 151,570.20 : x
  2. Step 2: Convert to fraction form
    278,894.61/384,877.53 = 151,570.20/x
  3. Step 3: Cross multiply
    278,894.61x = 384,877.53 × 151,570.20
  4. Step 4: Simplify right side
    278,894.61x = 58,335,964,197.61
  5. Step 5: Solve for x
    x = 58,335,964,197.61/278,894.61
  6. Step 6: Final answer
    x = 209,168.49

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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.