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Finding the Fourth Proportional to 654,259.82, 902,744.97 and 382,275.16

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Solution

The fourth proportional to 654,259.82, 902,744.97 and 382,275.16 is: 527,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,259.82 : 902,744.97 = 382,275.16 : x
  2. Step 2: Convert to fraction form
    654,259.82/902,744.97 = 382,275.16/x
  3. Step 3: Cross multiply
    654,259.82x = 902,744.97 × 382,275.16
  4. Step 4: Simplify right side
    654,259.82x = 345,096,977,845.95
  5. Step 5: Solve for x
    x = 345,096,977,845.95/654,259.82
  6. Step 6: Final answer
    x = 527,461.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.