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Finding the Fourth Proportional to 413,091.94, 570,065.32 and 231,803.46

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Solution

The fourth proportional to 413,091.94, 570,065.32 and 231,803.46 is: 319,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,091.94 : 570,065.32 = 231,803.46 : x
  2. Step 2: Convert to fraction form
    413,091.94/570,065.32 = 231,803.46/x
  3. Step 3: Cross multiply
    413,091.94x = 570,065.32 × 231,803.46
  4. Step 4: Simplify right side
    413,091.94x = 132,143,113,602.01
  5. Step 5: Solve for x
    x = 132,143,113,602.01/413,091.94
  6. Step 6: Final answer
    x = 319,887.90

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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.