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Finding the Fourth Proportional to 686,314.88, 945,931.68 and 456,461.12

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Solution

The fourth proportional to 686,314.88, 945,931.68 and 456,461.12 is: 629,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,314.88 : 945,931.68 = 456,461.12 : x
  2. Step 2: Convert to fraction form
    686,314.88/945,931.68 = 456,461.12/x
  3. Step 3: Cross multiply
    686,314.88x = 945,931.68 × 456,461.12
  4. Step 4: Simplify right side
    686,314.88x = 431,781,034,096.28
  5. Step 5: Solve for x
    x = 431,781,034,096.28/686,314.88
  6. Step 6: Final answer
    x = 629,129.64

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