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Finding the Fourth Proportional to 421,472.80, 632,209.20 and 418,848.40

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Solution

The fourth proportional to 421,472.80, 632,209.20 and 418,848.40 is: 628,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,472.80 : 632,209.20 = 418,848.40 : x
  2. Step 2: Convert to fraction form
    421,472.80/632,209.20 = 418,848.40/x
  3. Step 3: Cross multiply
    421,472.80x = 632,209.20 × 418,848.40
  4. Step 4: Simplify right side
    421,472.80x = 264,799,811,885.28
  5. Step 5: Solve for x
    x = 264,799,811,885.28/421,472.80
  6. Step 6: Final answer
    x = 628,272.60

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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.