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Finding the Fourth Proportional to 410,955.71, 567,117.05 and 229,667.58

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Solution

The fourth proportional to 410,955.71, 567,117.05 and 229,667.58 is: 316,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,955.71 : 567,117.05 = 229,667.58 : x
  2. Step 2: Convert to fraction form
    410,955.71/567,117.05 = 229,667.58/x
  3. Step 3: Cross multiply
    410,955.71x = 567,117.05 × 229,667.58
  4. Step 4: Simplify right side
    410,955.71x = 130,248,399,301.90
  5. Step 5: Solve for x
    x = 130,248,399,301.90/410,955.71
  6. Step 6: Final answer
    x = 316,940.24

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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.