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Finding the Fourth Proportional to 634,212, 950,647.68 and 234,596.16

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Solution

The fourth proportional to 634,212, 950,647.68 and 234,596.16 is: 351,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,212 : 950,647.68 = 234,596.16 : x
  2. Step 2: Convert to fraction form
    634,212/950,647.68 = 234,596.16/x
  3. Step 3: Cross multiply
    634,212x = 950,647.68 × 234,596.16
  4. Step 4: Simplify right side
    634,212x = 223,018,295,240.91
  5. Step 5: Solve for x
    x = 223,018,295,240.91/634,212
  6. Step 6: Final answer
    x = 351,646.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.