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Finding the Fourth Proportional to 477,203.64, 658,532.28 and 262,341.76

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Solution

The fourth proportional to 477,203.64, 658,532.28 and 262,341.76 is: 362,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.64 : 658,532.28 = 262,341.76 : x
  2. Step 2: Convert to fraction form
    477,203.64/658,532.28 = 262,341.76/x
  3. Step 3: Cross multiply
    477,203.64x = 658,532.28 × 262,341.76
  4. Step 4: Simplify right side
    477,203.64x = 172,760,517,352.01
  5. Step 5: Solve for x
    x = 172,760,517,352.01/477,203.64
  6. Step 6: Final answer
    x = 362,026.82

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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.