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Finding the Fourth Proportional to 477,901.40, 659,498.78 and 263,036.82

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Solution

The fourth proportional to 477,901.40, 659,498.78 and 263,036.82 is: 362,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,901.40 : 659,498.78 = 263,036.82 : x
  2. Step 2: Convert to fraction form
    477,901.40/659,498.78 = 263,036.82/x
  3. Step 3: Cross multiply
    477,901.40x = 659,498.78 × 263,036.82
  4. Step 4: Simplify right side
    477,901.40x = 173,472,462,542.67
  5. Step 5: Solve for x
    x = 173,472,462,542.67/477,901.40
  6. Step 6: Final answer
    x = 362,987.98

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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.