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Finding the Fourth Proportional to 477,722.80, 716,584.20 and 193,412.80

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Solution

The fourth proportional to 477,722.80, 716,584.20 and 193,412.80 is: 290,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,722.80 : 716,584.20 = 193,412.80 : x
  2. Step 2: Convert to fraction form
    477,722.80/716,584.20 = 193,412.80/x
  3. Step 3: Cross multiply
    477,722.80x = 716,584.20 × 193,412.80
  4. Step 4: Simplify right side
    477,722.80x = 138,596,556,557.76
  5. Step 5: Solve for x
    x = 138,596,556,557.76/477,722.80
  6. Step 6: Final answer
    x = 290,119.20

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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.