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Finding the Fourth Proportional to 461,150.48, 687,141.46 and 410,844.01

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Solution

The fourth proportional to 461,150.48, 687,141.46 and 410,844.01 is: 612,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,150.48 : 687,141.46 = 410,844.01 : x
  2. Step 2: Convert to fraction form
    461,150.48/687,141.46 = 410,844.01/x
  3. Step 3: Cross multiply
    461,150.48x = 687,141.46 × 410,844.01
  4. Step 4: Simplify right side
    461,150.48x = 282,307,952,863.66
  5. Step 5: Solve for x
    x = 282,307,952,863.66/461,150.48
  6. Step 6: Final answer
    x = 612,181.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.