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Finding the Fourth Proportional to 499,571.40, 749,357.10 and 162,643.80

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Solution

The fourth proportional to 499,571.40, 749,357.10 and 162,643.80 is: 243,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,571.40 : 749,357.10 = 162,643.80 : x
  2. Step 2: Convert to fraction form
    499,571.40/749,357.10 = 162,643.80/x
  3. Step 3: Cross multiply
    499,571.40x = 749,357.10 × 162,643.80
  4. Step 4: Simplify right side
    499,571.40x = 121,878,286,300.98
  5. Step 5: Solve for x
    x = 121,878,286,300.98/499,571.40
  6. Step 6: Final answer
    x = 243,965.70

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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.