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Finding the Fourth Proportional to 506,941.14, 699,568.20 and 277,492.80

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Solution

The fourth proportional to 506,941.14, 699,568.20 and 277,492.80 is: 382,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,941.14 : 699,568.20 = 277,492.80 : x
  2. Step 2: Convert to fraction form
    506,941.14/699,568.20 = 277,492.80/x
  3. Step 3: Cross multiply
    506,941.14x = 699,568.20 × 277,492.80
  4. Step 4: Simplify right side
    506,941.14x = 194,125,138,608.96
  5. Step 5: Solve for x
    x = 194,125,138,608.96/506,941.14
  6. Step 6: Final answer
    x = 382,934.28

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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.