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Finding the Fourth Proportional to 492,182.58, 738,347.70 and 176,713.30

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Solution

The fourth proportional to 492,182.58, 738,347.70 and 176,713.30 is: 265,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,182.58 : 738,347.70 = 176,713.30 : x
  2. Step 2: Convert to fraction form
    492,182.58/738,347.70 = 176,713.30/x
  3. Step 3: Cross multiply
    492,182.58x = 738,347.70 × 176,713.30
  4. Step 4: Simplify right side
    492,182.58x = 130,475,856,046.81
  5. Step 5: Solve for x
    x = 130,475,856,046.81/492,182.58
  6. Step 6: Final answer
    x = 265,096.45

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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.