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Finding the Fourth Proportional to 748,150, 1,032,447 and 408,619.06

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Solution

The fourth proportional to 748,150, 1,032,447 and 408,619.06 is: 563,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,150 : 1,032,447 = 408,619.06 : x
  2. Step 2: Convert to fraction form
    748,150/1,032,447 = 408,619.06/x
  3. Step 3: Cross multiply
    748,150x = 1,032,447 × 408,619.06
  4. Step 4: Simplify right side
    748,150x = 421,877,522,639.82
  5. Step 5: Solve for x
    x = 421,877,522,639.82/748,150
  6. Step 6: Final answer
    x = 563,894.30

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