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Finding the Fourth Proportional to 507,038.14, 699,720.90 and 277,591.58

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Solution

The fourth proportional to 507,038.14, 699,720.90 and 277,591.58 is: 383,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,038.14 : 699,720.90 = 277,591.58 : x
  2. Step 2: Convert to fraction form
    507,038.14/699,720.90 = 277,591.58/x
  3. Step 3: Cross multiply
    507,038.14x = 699,720.90 × 277,591.58
  4. Step 4: Simplify right side
    507,038.14x = 194,236,630,190.02
  5. Step 5: Solve for x
    x = 194,236,630,190.02/507,038.14
  6. Step 6: Final answer
    x = 383,080.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.