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Finding the Fourth Proportional to 657,133.40, 984,533.70 and 407,523.80

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Solution

The fourth proportional to 657,133.40, 984,533.70 and 407,523.80 is: 610,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,133.40 : 984,533.70 = 407,523.80 : x
  2. Step 2: Convert to fraction form
    657,133.40/984,533.70 = 407,523.80/x
  3. Step 3: Cross multiply
    657,133.40x = 984,533.70 × 407,523.80
  4. Step 4: Simplify right side
    657,133.40x = 401,220,914,652.06
  5. Step 5: Solve for x
    x = 401,220,914,652.06/657,133.40
  6. Step 6: Final answer
    x = 610,562.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.