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Finding the Fourth Proportional to 507,113.65, 699,816.88 and 277,685.40

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Solution

The fourth proportional to 507,113.65, 699,816.88 and 277,685.40 is: 383,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,113.65 : 699,816.88 = 277,685.40 : x
  2. Step 2: Convert to fraction form
    507,113.65/699,816.88 = 277,685.40/x
  3. Step 3: Cross multiply
    507,113.65x = 699,816.88 × 277,685.40
  4. Step 4: Simplify right side
    507,113.65x = 194,328,930,249.55
  5. Step 5: Solve for x
    x = 194,328,930,249.55/507,113.65
  6. Step 6: Final answer
    x = 383,205.88

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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.