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Finding the Fourth Proportional to 492,807.20, 739,210.80 and 118,830.20

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Solution

The fourth proportional to 492,807.20, 739,210.80 and 118,830.20 is: 178,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,807.20 : 739,210.80 = 118,830.20 : x
  2. Step 2: Convert to fraction form
    492,807.20/739,210.80 = 118,830.20/x
  3. Step 3: Cross multiply
    492,807.20x = 739,210.80 × 118,830.20
  4. Step 4: Simplify right side
    492,807.20x = 87,840,567,206.16
  5. Step 5: Solve for x
    x = 87,840,567,206.16/492,807.20
  6. Step 6: Final answer
    x = 178,245.30

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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.