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Finding the Fourth Proportional to 495,797.76, 683,285.76 and 415,238.40

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Solution

The fourth proportional to 495,797.76, 683,285.76 and 415,238.40 is: 572,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,797.76 : 683,285.76 = 415,238.40 : x
  2. Step 2: Convert to fraction form
    495,797.76/683,285.76 = 415,238.40/x
  3. Step 3: Cross multiply
    495,797.76x = 683,285.76 × 415,238.40
  4. Step 4: Simplify right side
    495,797.76x = 283,726,485,725.18
  5. Step 5: Solve for x
    x = 283,726,485,725.18/495,797.76
  6. Step 6: Final answer
    x = 572,262.54

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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.