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Finding the Fourth Proportional to 507,414.89, 700,232.85 and 277,980.52

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Solution

The fourth proportional to 507,414.89, 700,232.85 and 277,980.52 is: 383,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414.89 : 700,232.85 = 277,980.52 : x
  2. Step 2: Convert to fraction form
    507,414.89/700,232.85 = 277,980.52/x
  3. Step 3: Cross multiply
    507,414.89x = 700,232.85 × 277,980.52
  4. Step 4: Simplify right side
    507,414.89x = 194,651,091,764.08
  5. Step 5: Solve for x
    x = 194,651,091,764.08/507,414.89
  6. Step 6: Final answer
    x = 383,613.28

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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.