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Finding the Fourth Proportional to 461,049.37, 691,657.18 and 208,448.74

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Solution

The fourth proportional to 461,049.37, 691,657.18 and 208,448.74 is: 312,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,049.37 : 691,657.18 = 208,448.74 : x
  2. Step 2: Convert to fraction form
    461,049.37/691,657.18 = 208,448.74/x
  3. Step 3: Cross multiply
    461,049.37x = 691,657.18 × 208,448.74
  4. Step 4: Simplify right side
    461,049.37x = 144,175,068,026.40
  5. Step 5: Solve for x
    x = 144,175,068,026.40/461,049.37
  6. Step 6: Final answer
    x = 312,710.69

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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.