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Finding the Fourth Proportional to 492,970.32, 739,455.48 and 177,419.16

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Solution

The fourth proportional to 492,970.32, 739,455.48 and 177,419.16 is: 266,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,970.32 : 739,455.48 = 177,419.16 : x
  2. Step 2: Convert to fraction form
    492,970.32/739,455.48 = 177,419.16/x
  3. Step 3: Cross multiply
    492,970.32x = 739,455.48 × 177,419.16
  4. Step 4: Simplify right side
    492,970.32x = 131,193,570,119.00
  5. Step 5: Solve for x
    x = 131,193,570,119.00/492,970.32
  6. Step 6: Final answer
    x = 266,128.74

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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.