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Finding the Fourth Proportional to 663,833.80, 916,172.94 and 405,657.64

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Solution

The fourth proportional to 663,833.80, 916,172.94 and 405,657.64 is: 559,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,833.80 : 916,172.94 = 405,657.64 : x
  2. Step 2: Convert to fraction form
    663,833.80/916,172.94 = 405,657.64/x
  3. Step 3: Cross multiply
    663,833.80x = 916,172.94 × 405,657.64
  4. Step 4: Simplify right side
    663,833.80x = 371,652,552,672.26
  5. Step 5: Solve for x
    x = 371,652,552,672.26/663,833.80
  6. Step 6: Final answer
    x = 559,857.83

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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.