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Finding the Fourth Proportional to 419,176.50, 578,609.37 and 249,406.98

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Solution

The fourth proportional to 419,176.50, 578,609.37 and 249,406.98 is: 344,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,176.50 : 578,609.37 = 249,406.98 : x
  2. Step 2: Convert to fraction form
    419,176.50/578,609.37 = 249,406.98/x
  3. Step 3: Cross multiply
    419,176.50x = 578,609.37 × 249,406.98
  4. Step 4: Simplify right side
    419,176.50x = 144,309,215,571.40
  5. Step 5: Solve for x
    x = 144,309,215,571.40/419,176.50
  6. Step 6: Final answer
    x = 344,268.38

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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.