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Finding the Fourth Proportional to 470,951.51, 651,624.48 and 410,647.82

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Solution

The fourth proportional to 470,951.51, 651,624.48 and 410,647.82 is: 568,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,951.51 : 651,624.48 = 410,647.82 : x
  2. Step 2: Convert to fraction form
    470,951.51/651,624.48 = 410,647.82/x
  3. Step 3: Cross multiply
    470,951.51x = 651,624.48 × 410,647.82
  4. Step 4: Simplify right side
    470,951.51x = 267,588,168,912.51
  5. Step 5: Solve for x
    x = 267,588,168,912.51/470,951.51
  6. Step 6: Final answer
    x = 568,186.25

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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.