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Finding the Fourth Proportional to 413,091.02, 570,086.35 and 258,135.91

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Solution

The fourth proportional to 413,091.02, 570,086.35 and 258,135.91 is: 356,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,091.02 : 570,086.35 = 258,135.91 : x
  2. Step 2: Convert to fraction form
    413,091.02/570,086.35 = 258,135.91/x
  3. Step 3: Cross multiply
    413,091.02x = 570,086.35 × 258,135.91
  4. Step 4: Simplify right side
    413,091.02x = 147,159,756,665.27
  5. Step 5: Solve for x
    x = 147,159,756,665.27/413,091.02
  6. Step 6: Final answer
    x = 356,240.51

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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.