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Finding the Fourth Proportional to 666,816.30, 920,384.37 and 412,023.51

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Solution

The fourth proportional to 666,816.30, 920,384.37 and 412,023.51 is: 568,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,816.30 : 920,384.37 = 412,023.51 : x
  2. Step 2: Convert to fraction form
    666,816.30/920,384.37 = 412,023.51/x
  3. Step 3: Cross multiply
    666,816.30x = 920,384.37 × 412,023.51
  4. Step 4: Simplify right side
    666,816.30x = 379,219,998,676.54
  5. Step 5: Solve for x
    x = 379,219,998,676.54/666,816.30
  6. Step 6: Final answer
    x = 568,702.35

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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.