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Finding the Fourth Proportional to 492,197.13, 738,299.31 and 176,656.77

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Solution

The fourth proportional to 492,197.13, 738,299.31 and 176,656.77 is: 264,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,197.13 : 738,299.31 = 176,656.77 : x
  2. Step 2: Convert to fraction form
    492,197.13/738,299.31 = 176,656.77/x
  3. Step 3: Cross multiply
    492,197.13x = 738,299.31 × 176,656.77
  4. Step 4: Simplify right side
    492,197.13x = 130,425,571,397.83
  5. Step 5: Solve for x
    x = 130,425,571,397.83/492,197.13
  6. Step 6: Final answer
    x = 264,986.45

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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.