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Finding the Fourth Proportional to 437,141.76, 654,763.51 and 212,029.07

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Solution

The fourth proportional to 437,141.76, 654,763.51 and 212,029.07 is: 317,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,141.76 : 654,763.51 = 212,029.07 : x
  2. Step 2: Convert to fraction form
    437,141.76/654,763.51 = 212,029.07/x
  3. Step 3: Cross multiply
    437,141.76x = 654,763.51 × 212,029.07
  4. Step 4: Simplify right side
    437,141.76x = 138,828,895,086.45
  5. Step 5: Solve for x
    x = 138,828,895,086.45/437,141.76
  6. Step 6: Final answer
    x = 317,583.24

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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.