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Finding the Fourth Proportional to 510,141.60, 765,182.88 and 194,630.40

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Solution

The fourth proportional to 510,141.60, 765,182.88 and 194,630.40 is: 291,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,141.60 : 765,182.88 = 194,630.40 : x
  2. Step 2: Convert to fraction form
    510,141.60/765,182.88 = 194,630.40/x
  3. Step 3: Cross multiply
    510,141.60x = 765,182.88 × 194,630.40
  4. Step 4: Simplify right side
    510,141.60x = 148,927,850,007.55
  5. Step 5: Solve for x
    x = 148,927,850,007.55/510,141.60
  6. Step 6: Final answer
    x = 291,934.34

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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.