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Finding the Fourth Proportional to 477,291.50, 658,645.41 and 262,430.06

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Solution

The fourth proportional to 477,291.50, 658,645.41 and 262,430.06 is: 362,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,291.50 : 658,645.41 = 262,430.06 : x
  2. Step 2: Convert to fraction form
    477,291.50/658,645.41 = 262,430.06/x
  3. Step 3: Cross multiply
    477,291.50x = 658,645.41 × 262,430.06
  4. Step 4: Simplify right side
    477,291.50x = 172,848,354,465.03
  5. Step 5: Solve for x
    x = 172,848,354,465.03/477,291.50
  6. Step 6: Final answer
    x = 362,144.21

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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.