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Finding the Fourth Proportional to 477,035.82, 657,615.78 and 333,349.92

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Solution

The fourth proportional to 477,035.82, 657,615.78 and 333,349.92 is: 459,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,035.82 : 657,615.78 = 333,349.92 : x
  2. Step 2: Convert to fraction form
    477,035.82/657,615.78 = 333,349.92/x
  3. Step 3: Cross multiply
    477,035.82x = 657,615.78 × 333,349.92
  4. Step 4: Simplify right side
    477,035.82x = 219,216,167,653.74
  5. Step 5: Solve for x
    x = 219,216,167,653.74/477,035.82
  6. Step 6: Final answer
    x = 459,538.17

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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.