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Finding the Fourth Proportional to 492,807.60, 680,074.29 and 277,947.18

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Solution

The fourth proportional to 492,807.60, 680,074.29 and 277,947.18 is: 383,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,807.60 : 680,074.29 = 277,947.18 : x
  2. Step 2: Convert to fraction form
    492,807.60/680,074.29 = 277,947.18/x
  3. Step 3: Cross multiply
    492,807.60x = 680,074.29 × 277,947.18
  4. Step 4: Simplify right side
    492,807.60x = 189,024,731,096.00
  5. Step 5: Solve for x
    x = 189,024,731,096.00/492,807.60
  6. Step 6: Final answer
    x = 383,567.00

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Why These Related Problems?

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