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Finding the Fourth Proportional to 477,029.82, 657,607.50 and 333,343.92

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Solution

The fourth proportional to 477,029.82, 657,607.50 and 333,343.92 is: 459,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,029.82 : 657,607.50 = 333,343.92 : x
  2. Step 2: Convert to fraction form
    477,029.82/657,607.50 = 333,343.92/x
  3. Step 3: Cross multiply
    477,029.82x = 657,607.50 × 333,343.92
  4. Step 4: Simplify right side
    477,029.82x = 219,209,461,871.40
  5. Step 5: Solve for x
    x = 219,209,461,871.40/477,029.82
  6. Step 6: Final answer
    x = 459,529.89

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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.