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Finding the Fourth Proportional to 492,133.60, 738,200.40 and 314,111.80

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Solution

The fourth proportional to 492,133.60, 738,200.40 and 314,111.80 is: 471,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,133.60 : 738,200.40 = 314,111.80 : x
  2. Step 2: Convert to fraction form
    492,133.60/738,200.40 = 314,111.80/x
  3. Step 3: Cross multiply
    492,133.60x = 738,200.40 × 314,111.80
  4. Step 4: Simplify right side
    492,133.60x = 231,877,456,404.72
  5. Step 5: Solve for x
    x = 231,877,456,404.72/492,133.60
  6. Step 6: Final answer
    x = 471,167.70

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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.