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Finding the Fourth Proportional to 686,184.96, 945,753 and 456,331.44

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Solution

The fourth proportional to 686,184.96, 945,753 and 456,331.44 is: 628,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,184.96 : 945,753 = 456,331.44 : x
  2. Step 2: Convert to fraction form
    686,184.96/945,753 = 456,331.44/x
  3. Step 3: Cross multiply
    686,184.96x = 945,753 × 456,331.44
  4. Step 4: Simplify right side
    686,184.96x = 431,576,828,374.32
  5. Step 5: Solve for x
    x = 431,576,828,374.32/686,184.96
  6. Step 6: Final answer
    x = 628,951.16

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1.5x scale

Why These Related Problems?

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