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Finding the Fourth Proportional to 407,246.82, 562,330.80 and 254,463

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Solution

The fourth proportional to 407,246.82, 562,330.80 and 254,463 is: 351,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,246.82 : 562,330.80 = 254,463 : x
  2. Step 2: Convert to fraction form
    407,246.82/562,330.80 = 254,463/x
  3. Step 3: Cross multiply
    407,246.82x = 562,330.80 × 254,463
  4. Step 4: Simplify right side
    407,246.82x = 143,092,382,360.40
  5. Step 5: Solve for x
    x = 143,092,382,360.40/407,246.82
  6. Step 6: Final answer
    x = 351,365.25

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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.