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Finding the Fourth Proportional to 654,000.40, 902,767.17 and 382,156.64

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Solution

The fourth proportional to 654,000.40, 902,767.17 and 382,156.64 is: 527,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,000.40 : 902,767.17 = 382,156.64 : x
  2. Step 2: Convert to fraction form
    654,000.40/902,767.17 = 382,156.64/x
  3. Step 3: Cross multiply
    654,000.40x = 902,767.17 × 382,156.64
  4. Step 4: Simplify right side
    654,000.40x = 344,998,468,389.51
  5. Step 5: Solve for x
    x = 344,998,468,389.51/654,000.40
  6. Step 6: Final answer
    x = 527,520.27

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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.