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Finding the Fourth Proportional to 407,412.52, 562,298.87 and 235,299.56

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Solution

The fourth proportional to 407,412.52, 562,298.87 and 235,299.56 is: 324,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,412.52 : 562,298.87 = 235,299.56 : x
  2. Step 2: Convert to fraction form
    407,412.52/562,298.87 = 235,299.56/x
  3. Step 3: Cross multiply
    407,412.52x = 562,298.87 × 235,299.56
  4. Step 4: Simplify right side
    407,412.52x = 132,308,674,476.25
  5. Step 5: Solve for x
    x = 132,308,674,476.25/407,412.52
  6. Step 6: Final answer
    x = 324,753.58

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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.