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Finding the Fourth Proportional to 470,952.51, 651,625.86 and 410,648.82

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Solution

The fourth proportional to 470,952.51, 651,625.86 and 410,648.82 is: 568,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.51 : 651,625.86 = 410,648.82 : x
  2. Step 2: Convert to fraction form
    470,952.51/651,625.86 = 410,648.82/x
  3. Step 3: Cross multiply
    470,952.51x = 651,625.86 × 410,648.82
  4. Step 4: Simplify right side
    470,952.51x = 267,589,390,490.49
  5. Step 5: Solve for x
    x = 267,589,390,490.49/470,952.51
  6. Step 6: Final answer
    x = 568,187.63

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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.