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Finding the Fourth Proportional to 418,818, 628,428.60 and 208,474.32

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Solution

The fourth proportional to 418,818, 628,428.60 and 208,474.32 is: 312,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,818 : 628,428.60 = 208,474.32 : x
  2. Step 2: Convert to fraction form
    418,818/628,428.60 = 208,474.32/x
  3. Step 3: Cross multiply
    418,818x = 628,428.60 × 208,474.32
  4. Step 4: Simplify right side
    418,818x = 131,011,225,053.55
  5. Step 5: Solve for x
    x = 131,011,225,053.55/418,818
  6. Step 6: Final answer
    x = 312,811.83

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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.