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Finding the Fourth Proportional to 507,265.79, 700,037.35 and 277,832.74

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Solution

The fourth proportional to 507,265.79, 700,037.35 and 277,832.74 is: 383,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,265.79 : 700,037.35 = 277,832.74 : x
  2. Step 2: Convert to fraction form
    507,265.79/700,037.35 = 277,832.74/x
  3. Step 3: Cross multiply
    507,265.79x = 700,037.35 × 277,832.74
  4. Step 4: Simplify right side
    507,265.79x = 194,493,295,052.84
  5. Step 5: Solve for x
    x = 194,493,295,052.84/507,265.79
  6. Step 6: Final answer
    x = 383,414.96

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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.