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Finding the Fourth Proportional to 477,106.80, 658,412.56 and 259,315.44

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Solution

The fourth proportional to 477,106.80, 658,412.56 and 259,315.44 is: 357,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,106.80 : 658,412.56 = 259,315.44 : x
  2. Step 2: Convert to fraction form
    477,106.80/658,412.56 = 259,315.44/x
  3. Step 3: Cross multiply
    477,106.80x = 658,412.56 × 259,315.44
  4. Step 4: Simplify right side
    477,106.80x = 170,736,542,697.93
  5. Step 5: Solve for x
    x = 170,736,542,697.93/477,106.80
  6. Step 6: Final answer
    x = 357,858.12

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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.