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Finding the Fourth Proportional to 412,154.37, 621,510.89 and 406,533.78

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Solution

The fourth proportional to 412,154.37, 621,510.89 and 406,533.78 is: 613,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,154.37 : 621,510.89 = 406,533.78 : x
  2. Step 2: Convert to fraction form
    412,154.37/621,510.89 = 406,533.78/x
  3. Step 3: Cross multiply
    412,154.37x = 621,510.89 × 406,533.78
  4. Step 4: Simplify right side
    412,154.37x = 252,665,169,390.20
  5. Step 5: Solve for x
    x = 252,665,169,390.20/412,154.37
  6. Step 6: Final answer
    x = 613,035.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.