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Finding the Fourth Proportional to 654,184.60, 902,642.40 and 382,199.96

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Solution

The fourth proportional to 654,184.60, 902,642.40 and 382,199.96 is: 527,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,184.60 : 902,642.40 = 382,199.96 : x
  2. Step 2: Convert to fraction form
    654,184.60/902,642.40 = 382,199.96/x
  3. Step 3: Cross multiply
    654,184.60x = 902,642.40 × 382,199.96
  4. Step 4: Simplify right side
    654,184.60x = 344,989,889,174.30
  5. Step 5: Solve for x
    x = 344,989,889,174.30/654,184.60
  6. Step 6: Final answer
    x = 527,358.62

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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.