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Finding the Fourth Proportional to 632,225.52, 948,141 and 211,403.16

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Solution

The fourth proportional to 632,225.52, 948,141 and 211,403.16 is: 317,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,225.52 : 948,141 = 211,403.16 : x
  2. Step 2: Convert to fraction form
    632,225.52/948,141 = 211,403.16/x
  3. Step 3: Cross multiply
    632,225.52x = 948,141 × 211,403.16
  4. Step 4: Simplify right side
    632,225.52x = 200,440,003,525.56
  5. Step 5: Solve for x
    x = 200,440,003,525.56/632,225.52
  6. Step 6: Final answer
    x = 317,038.77

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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.