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Finding the Fourth Proportional to 432,912.30, 649,368.45 and 353,196.15

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Solution

The fourth proportional to 432,912.30, 649,368.45 and 353,196.15 is: 529,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912.30 : 649,368.45 = 353,196.15 : x
  2. Step 2: Convert to fraction form
    432,912.30/649,368.45 = 353,196.15/x
  3. Step 3: Cross multiply
    432,912.30x = 649,368.45 × 353,196.15
  4. Step 4: Simplify right side
    432,912.30x = 229,354,436,471.47
  5. Step 5: Solve for x
    x = 229,354,436,471.47/432,912.30
  6. Step 6: Final answer
    x = 529,794.23

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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.