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Finding the Fourth Proportional to 685,901.52, 946,593.96 and 414,035.64

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Solution

The fourth proportional to 685,901.52, 946,593.96 and 414,035.64 is: 571,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,901.52 : 946,593.96 = 414,035.64 : x
  2. Step 2: Convert to fraction form
    685,901.52/946,593.96 = 414,035.64/x
  3. Step 3: Cross multiply
    685,901.52x = 946,593.96 × 414,035.64
  4. Step 4: Simplify right side
    685,901.52x = 391,923,636,048.73
  5. Step 5: Solve for x
    x = 391,923,636,048.73/685,901.52
  6. Step 6: Final answer
    x = 571,399.28

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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.