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Finding the Fourth Proportional to 795,602, 1,097,930.80 and 437,906

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Solution

The fourth proportional to 795,602, 1,097,930.80 and 437,906 is: 604,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,602 : 1,097,930.80 = 437,906 : x
  2. Step 2: Convert to fraction form
    795,602/1,097,930.80 = 437,906/x
  3. Step 3: Cross multiply
    795,602x = 1,097,930.80 × 437,906
  4. Step 4: Simplify right side
    795,602x = 480,790,484,904.80
  5. Step 5: Solve for x
    x = 480,790,484,904.80/795,602
  6. Step 6: Final answer
    x = 604,310.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.