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Finding the Fourth Proportional to 507,219.42, 699,962.76 and 280,864.92

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Solution

The fourth proportional to 507,219.42, 699,962.76 and 280,864.92 is: 387,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,219.42 : 699,962.76 = 280,864.92 : x
  2. Step 2: Convert to fraction form
    507,219.42/699,962.76 = 280,864.92/x
  3. Step 3: Cross multiply
    507,219.42x = 699,962.76 × 280,864.92
  4. Step 4: Simplify right side
    507,219.42x = 196,594,984,590.38
  5. Step 5: Solve for x
    x = 196,594,984,590.38/507,219.42
  6. Step 6: Final answer
    x = 387,593.57

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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.