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Finding the Fourth Proportional to 471,038.16, 650,094.68 and 458,213.97

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Solution

The fourth proportional to 471,038.16, 650,094.68 and 458,213.97 is: 632,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,038.16 : 650,094.68 = 458,213.97 : x
  2. Step 2: Convert to fraction form
    471,038.16/650,094.68 = 458,213.97/x
  3. Step 3: Cross multiply
    471,038.16x = 650,094.68 × 458,213.97
  4. Step 4: Simplify right side
    471,038.16x = 297,882,465,344.22
  5. Step 5: Solve for x
    x = 297,882,465,344.22/471,038.16
  6. Step 6: Final answer
    x = 632,395.61

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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.