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Finding the Fourth Proportional to 634,055.72, 950,488.22 and 213,037.16

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Solution

The fourth proportional to 634,055.72, 950,488.22 and 213,037.16 is: 319,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,055.72 : 950,488.22 = 213,037.16 : x
  2. Step 2: Convert to fraction form
    634,055.72/950,488.22 = 213,037.16/x
  3. Step 3: Cross multiply
    634,055.72x = 950,488.22 × 213,037.16
  4. Step 4: Simplify right side
    634,055.72x = 202,489,311,002.26
  5. Step 5: Solve for x
    x = 202,489,311,002.26/634,055.72
  6. Step 6: Final answer
    x = 319,355.70

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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.