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Finding the Fourth Proportional to 432,000.80, 648,001.20 and 429,376.40

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Solution

The fourth proportional to 432,000.80, 648,001.20 and 429,376.40 is: 644,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,000.80 : 648,001.20 = 429,376.40 : x
  2. Step 2: Convert to fraction form
    432,000.80/648,001.20 = 429,376.40/x
  3. Step 3: Cross multiply
    432,000.80x = 648,001.20 × 429,376.40
  4. Step 4: Simplify right side
    432,000.80x = 278,236,422,451.68
  5. Step 5: Solve for x
    x = 278,236,422,451.68/432,000.80
  6. Step 6: Final answer
    x = 644,064.60

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Similar ratio
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1.5x scale

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.