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Finding the Fourth Proportional to 492,802.56, 739,485.72 and 193,309.92

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Solution

The fourth proportional to 492,802.56, 739,485.72 and 193,309.92 is: 290,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,802.56 : 739,485.72 = 193,309.92 : x
  2. Step 2: Convert to fraction form
    492,802.56/739,485.72 = 193,309.92/x
  3. Step 3: Cross multiply
    492,802.56x = 739,485.72 × 193,309.92
  4. Step 4: Simplify right side
    492,802.56x = 142,949,925,374.34
  5. Step 5: Solve for x
    x = 142,949,925,374.34/492,802.56
  6. Step 6: Final answer
    x = 290,075.45

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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.