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Finding the Fourth Proportional to 610,432.20, 916,523.10 and 461,716.20

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Solution

The fourth proportional to 610,432.20, 916,523.10 and 461,716.20 is: 693,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,432.20 : 916,523.10 = 461,716.20 : x
  2. Step 2: Convert to fraction form
    610,432.20/916,523.10 = 461,716.20/x
  3. Step 3: Cross multiply
    610,432.20x = 916,523.10 × 461,716.20
  4. Step 4: Simplify right side
    610,432.20x = 423,173,562,944.22
  5. Step 5: Solve for x
    x = 423,173,562,944.22/610,432.20
  6. Step 6: Final answer
    x = 693,235.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.