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Finding the Fourth Proportional to 492,830.58, 739,325.61 and 193,148.64

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Solution

The fourth proportional to 492,830.58, 739,325.61 and 193,148.64 is: 289,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,830.58 : 739,325.61 = 193,148.64 : x
  2. Step 2: Convert to fraction form
    492,830.58/739,325.61 = 193,148.64/x
  3. Step 3: Cross multiply
    492,830.58x = 739,325.61 × 193,148.64
  4. Step 4: Simplify right side
    492,830.58x = 142,799,736,088.67
  5. Step 5: Solve for x
    x = 142,799,736,088.67/492,830.58
  6. Step 6: Final answer
    x = 289,754.21

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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.