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Finding the Fourth Proportional to 492,317.48, 738,410.59 and 137,301.77

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Solution

The fourth proportional to 492,317.48, 738,410.59 and 137,301.77 is: 205,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,317.48 : 738,410.59 = 137,301.77 : x
  2. Step 2: Convert to fraction form
    492,317.48/738,410.59 = 137,301.77/x
  3. Step 3: Cross multiply
    492,317.48x = 738,410.59 × 137,301.77
  4. Step 4: Simplify right side
    492,317.48x = 101,385,080,993.74
  5. Step 5: Solve for x
    x = 101,385,080,993.74/492,317.48
  6. Step 6: Final answer
    x = 205,934.35

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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.