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Finding the Fourth Proportional to 421,254.40, 632,131.20 and 155,201.92

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Solution

The fourth proportional to 421,254.40, 632,131.20 and 155,201.92 is: 232,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,254.40 : 632,131.20 = 155,201.92 : x
  2. Step 2: Convert to fraction form
    421,254.40/632,131.20 = 155,201.92/x
  3. Step 3: Cross multiply
    421,254.40x = 632,131.20 × 155,201.92
  4. Step 4: Simplify right side
    421,254.40x = 98,107,975,931.90
  5. Step 5: Solve for x
    x = 98,107,975,931.90/421,254.40
  6. Step 6: Final answer
    x = 232,894.84

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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.