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Finding the Fourth Proportional to 475,893.43, 712,437.73 and 416,844.43

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Solution

The fourth proportional to 475,893.43, 712,437.73 and 416,844.43 is: 624,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,893.43 : 712,437.73 = 416,844.43 : x
  2. Step 2: Convert to fraction form
    475,893.43/712,437.73 = 416,844.43/x
  3. Step 3: Cross multiply
    475,893.43x = 712,437.73 × 416,844.43
  4. Step 4: Simplify right side
    475,893.43x = 296,975,696,649.14
  5. Step 5: Solve for x
    x = 296,975,696,649.14/475,893.43
  6. Step 6: Final answer
    x = 624,038.24

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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.