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Finding the Fourth Proportional to 354,314.71, 531,191.40 and 176,730.31

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Solution

The fourth proportional to 354,314.71, 531,191.40 and 176,730.31 is: 264,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.71 : 531,191.40 = 176,730.31 : x
  2. Step 2: Convert to fraction form
    354,314.71/531,191.40 = 176,730.31/x
  3. Step 3: Cross multiply
    354,314.71x = 531,191.40 × 176,730.31
  4. Step 4: Simplify right side
    354,314.71x = 93,877,620,791.33
  5. Step 5: Solve for x
    x = 93,877,620,791.33/354,314.71
  6. Step 6: Final answer
    x = 264,955.47

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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.