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Finding the Fourth Proportional to 409,313.56, 614,053.38 and 128,765.56

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Solution

The fourth proportional to 409,313.56, 614,053.38 and 128,765.56 is: 193,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,313.56 : 614,053.38 = 128,765.56 : x
  2. Step 2: Convert to fraction form
    409,313.56/614,053.38 = 128,765.56/x
  3. Step 3: Cross multiply
    409,313.56x = 614,053.38 × 128,765.56
  4. Step 4: Simplify right side
    409,313.56x = 79,068,927,345.59
  5. Step 5: Solve for x
    x = 79,068,927,345.59/409,313.56
  6. Step 6: Final answer
    x = 193,174.46

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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.