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Finding the Fourth Proportional to 495,410.86, 683,709.15 and 280,589.14

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Solution

The fourth proportional to 495,410.86, 683,709.15 and 280,589.14 is: 387,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,410.86 : 683,709.15 = 280,589.14 : x
  2. Step 2: Convert to fraction form
    495,410.86/683,709.15 = 280,589.14/x
  3. Step 3: Cross multiply
    495,410.86x = 683,709.15 × 280,589.14
  4. Step 4: Simplify right side
    495,410.86x = 191,841,362,408.63
  5. Step 5: Solve for x
    x = 191,841,362,408.63/495,410.86
  6. Step 6: Final answer
    x = 387,236.89

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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.