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Finding the Fourth Proportional to 407,133.60, 561,609.28 and 253,905.83

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Solution

The fourth proportional to 407,133.60, 561,609.28 and 253,905.83 is: 350,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,133.60 : 561,609.28 = 253,905.83 : x
  2. Step 2: Convert to fraction form
    407,133.60/561,609.28 = 253,905.83/x
  3. Step 3: Cross multiply
    407,133.60x = 561,609.28 × 253,905.83
  4. Step 4: Simplify right side
    407,133.60x = 142,595,870,374.10
  5. Step 5: Solve for x
    x = 142,595,870,374.10/407,133.60
  6. Step 6: Final answer
    x = 350,243.43

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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.