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Finding the Fourth Proportional to 432,082.80, 648,124.20 and 282,783.60

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Solution

The fourth proportional to 432,082.80, 648,124.20 and 282,783.60 is: 424,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,082.80 : 648,124.20 = 282,783.60 : x
  2. Step 2: Convert to fraction form
    432,082.80/648,124.20 = 282,783.60/x
  3. Step 3: Cross multiply
    432,082.80x = 648,124.20 × 282,783.60
  4. Step 4: Simplify right side
    432,082.80x = 183,278,894,523.12
  5. Step 5: Solve for x
    x = 183,278,894,523.12/432,082.80
  6. Step 6: Final answer
    x = 424,175.40

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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.