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Finding the Fourth Proportional to 410,953.11, 567,113.34 and 229,664.93

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Solution

The fourth proportional to 410,953.11, 567,113.34 and 229,664.93 is: 316,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,953.11 : 567,113.34 = 229,664.93 : x
  2. Step 2: Convert to fraction form
    410,953.11/567,113.34 = 229,664.93/x
  3. Step 3: Cross multiply
    410,953.11x = 567,113.34 × 229,664.93
  4. Step 4: Simplify right side
    410,953.11x = 130,246,045,533.17
  5. Step 5: Solve for x
    x = 130,246,045,533.17/410,953.11
  6. Step 6: Final answer
    x = 316,936.51

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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.