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Finding the Fourth Proportional to 416,533.59, 624,671.14 and 150,259.35

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Solution

The fourth proportional to 416,533.59, 624,671.14 and 150,259.35 is: 225,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,533.59 : 624,671.14 = 150,259.35 : x
  2. Step 2: Convert to fraction form
    416,533.59/624,671.14 = 150,259.35/x
  3. Step 3: Cross multiply
    416,533.59x = 624,671.14 × 150,259.35
  4. Step 4: Simplify right side
    416,533.59x = 93,862,681,708.76
  5. Step 5: Solve for x
    x = 93,862,681,708.76/416,533.59
  6. Step 6: Final answer
    x = 225,342.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.