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Finding the Fourth Proportional to 714,237.84, 985,494.24 and 412,256.88

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Solution

The fourth proportional to 714,237.84, 985,494.24 and 412,256.88 is: 568,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,237.84 : 985,494.24 = 412,256.88 : x
  2. Step 2: Convert to fraction form
    714,237.84/985,494.24 = 412,256.88/x
  3. Step 3: Cross multiply
    714,237.84x = 985,494.24 × 412,256.88
  4. Step 4: Simplify right side
    714,237.84x = 406,276,780,640.37
  5. Step 5: Solve for x
    x = 406,276,780,640.37/714,237.84
  6. Step 6: Final answer
    x = 568,825.62

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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.