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Finding the Fourth Proportional to 492,842.40, 739,263.60 and 461,738.40

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Solution

The fourth proportional to 492,842.40, 739,263.60 and 461,738.40 is: 692,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,842.40 : 739,263.60 = 461,738.40 : x
  2. Step 2: Convert to fraction form
    492,842.40/739,263.60 = 461,738.40/x
  3. Step 3: Cross multiply
    492,842.40x = 739,263.60 × 461,738.40
  4. Step 4: Simplify right side
    492,842.40x = 341,346,391,842.24
  5. Step 5: Solve for x
    x = 341,346,391,842.24/492,842.40
  6. Step 6: Final answer
    x = 692,607.60

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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.