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Finding the Fourth Proportional to 477,531.56, 659,009.22 and 262,688.12

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Solution

The fourth proportional to 477,531.56, 659,009.22 and 262,688.12 is: 362,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,531.56 : 659,009.22 = 262,688.12 : x
  2. Step 2: Convert to fraction form
    477,531.56/659,009.22 = 262,688.12/x
  3. Step 3: Cross multiply
    477,531.56x = 659,009.22 × 262,688.12
  4. Step 4: Simplify right side
    477,531.56x = 173,113,893,064.47
  5. Step 5: Solve for x
    x = 173,113,893,064.47/477,531.56
  6. Step 6: Final answer
    x = 362,518.22

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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.