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Finding the Fourth Proportional to 507,410.53, 700,227.38 and 277,962.80

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Solution

The fourth proportional to 507,410.53, 700,227.38 and 277,962.80 is: 383,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,410.53 : 700,227.38 = 277,962.80 : x
  2. Step 2: Convert to fraction form
    507,410.53/700,227.38 = 277,962.80/x
  3. Step 3: Cross multiply
    507,410.53x = 700,227.38 × 277,962.80
  4. Step 4: Simplify right side
    507,410.53x = 194,637,160,375.23
  5. Step 5: Solve for x
    x = 194,637,160,375.23/507,410.53
  6. Step 6: Final answer
    x = 383,589.13

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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.