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Finding the Fourth Proportional to 407,296.44, 610,815.06 and 170,595

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Solution

The fourth proportional to 407,296.44, 610,815.06 and 170,595 is: 255,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,296.44 : 610,815.06 = 170,595 : x
  2. Step 2: Convert to fraction form
    407,296.44/610,815.06 = 170,595/x
  3. Step 3: Cross multiply
    407,296.44x = 610,815.06 × 170,595
  4. Step 4: Simplify right side
    407,296.44x = 104,201,995,160.70
  5. Step 5: Solve for x
    x = 104,201,995,160.70/407,296.44
  6. Step 6: Final answer
    x = 255,838.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.