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Finding the Fourth Proportional to 432,713.23, 649,404.65 and 282,912.91

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Solution

The fourth proportional to 432,713.23, 649,404.65 and 282,912.91 is: 424,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,713.23 : 649,404.65 = 282,912.91 : x
  2. Step 2: Convert to fraction form
    432,713.23/649,404.65 = 282,912.91/x
  3. Step 3: Cross multiply
    432,713.23x = 649,404.65 × 282,912.91
  4. Step 4: Simplify right side
    432,713.23x = 183,724,959,299.03
  5. Step 5: Solve for x
    x = 183,724,959,299.03/432,713.23
  6. Step 6: Final answer
    x = 424,588.26

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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.