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Finding the Fourth Proportional to 506,168.84, 758,965.70 and 206,298.20

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Solution

The fourth proportional to 506,168.84, 758,965.70 and 206,298.20 is: 309,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,168.84 : 758,965.70 = 206,298.20 : x
  2. Step 2: Convert to fraction form
    506,168.84/758,965.70 = 206,298.20/x
  3. Step 3: Cross multiply
    506,168.84x = 758,965.70 × 206,298.20
  4. Step 4: Simplify right side
    506,168.84x = 156,573,257,771.74
  5. Step 5: Solve for x
    x = 156,573,257,771.74/506,168.84
  6. Step 6: Final answer
    x = 309,330.10

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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.