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Finding the Fourth Proportional to 477,415.74, 658,820.57 and 262,555.80

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Solution

The fourth proportional to 477,415.74, 658,820.57 and 262,555.80 is: 362,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,415.74 : 658,820.57 = 262,555.80 : x
  2. Step 2: Convert to fraction form
    477,415.74/658,820.57 = 262,555.80/x
  3. Step 3: Cross multiply
    477,415.74x = 658,820.57 × 262,555.80
  4. Step 4: Simplify right side
    477,415.74x = 172,977,160,500.03
  5. Step 5: Solve for x
    x = 172,977,160,500.03/477,415.74
  6. Step 6: Final answer
    x = 362,319.77

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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.