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Finding the Fourth Proportional to 482,531.64, 665,457.66 and 301,260.12

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Solution

The fourth proportional to 482,531.64, 665,457.66 and 301,260.12 is: 415,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,531.64 : 665,457.66 = 301,260.12 : x
  2. Step 2: Convert to fraction form
    482,531.64/665,457.66 = 301,260.12/x
  3. Step 3: Cross multiply
    482,531.64x = 665,457.66 × 301,260.12
  4. Step 4: Simplify right side
    482,531.64x = 200,475,854,506.52
  5. Step 5: Solve for x
    x = 200,475,854,506.52/482,531.64
  6. Step 6: Final answer
    x = 415,466.75

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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.