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Finding the Fourth Proportional to 557,760.69, 769,492.44 and 412,913.18

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Solution

The fourth proportional to 557,760.69, 769,492.44 and 412,913.18 is: 569,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,760.69 : 769,492.44 = 412,913.18 : x
  2. Step 2: Convert to fraction form
    557,760.69/769,492.44 = 412,913.18/x
  3. Step 3: Cross multiply
    557,760.69x = 769,492.44 × 412,913.18
  4. Step 4: Simplify right side
    557,760.69x = 317,733,571,728.53
  5. Step 5: Solve for x
    x = 317,733,571,728.53/557,760.69
  6. Step 6: Final answer
    x = 569,659.31

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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.